I think you need to clean up your reports before applying anymore.
Anecdotally neither Amex nor Chase will approve at 600. Having a DIscover doesn't really help much, while the Freedom competes with Discover by virtual of it's being nearly line item identical, I don't think Chase nor Amex views Discover as a real competitor.
Maybe if you get the CO issue resolved there's a shot at Chase, I think you're a non-starter at Amex a while but stranger things have happened.
UPDATE:
I have been APPROVED for both of the cards as of today! (01/17/2014). I really wanted (Amex Green & Chase Freedom)..SO EXCITED!!! I really thank this forum as I have improved my credit score by 100 points since October 2013, and increased my available credit from $1500 to $10250 in 3 months! Amazing!
I am officially done apping for cards as I have all that I want! 
Everyone has helped me in the forums and I am VERY GRATEFUL to be a part of this community!
For my Amex cards I had problems, but I eventually obtained them. Those stories can be read here...
For the Freedom card I had to do a recon but after explaining why the charge off was still reporting he went ahead and approved my application, I literally ran across the house, LOL.
If anyone has any questions I will be glad to answer them for you.
Hmm, maybe it's worth giving an Amex a try then .. I've got an old (2007) collection account and was also recently approved for IT and Freedom. I *really* should wait until they're gone in May though. Patience ... 
@Involver wrote:Hmm, maybe it's worth giving an Amex a try then .. I've got an old (2007) collection account and was also recently approved for IT and Freedom. I *really* should wait until they're gone in May though. Patience ...
well my charge off is from 2006! I have no idea why its still reporting as current. I have disputed it plenty of time to the point where Experian won't even accept any more disputes from me. All of the CRAs are saying it will be removed in March 2017! That would be 11 years on my CR. However, at one point the CO stopped reporting from 2008-2010. So I think that is why it will report until 2017, it seem to have rest the clock.
Are you sure they are dropping off in May? If they are I say wait. Amex is really hard to recon unless they made a mistake in their application. What card are you trying for? and what is your score?
@Boragard wrote:
@Involver wrote:Hmm, maybe it's worth giving an Amex a try then .. I've got an old (2007) collection account and was also recently approved for IT and Freedom. I *really* should wait until they're gone in May though. Patience ...
well my charge off is from 2006! I have no idea why its still reporting as current. I have disputed it plenty of time to the point where Experian won't even accept any more disputes from me. All of the CRAs are saying it will be removed in March 2017! That would be 11 years on my CR. However, at one point the CO stopped reporting from 2008-2010. So I think that is why it will report until 2017, it seem to have rest the clock.
Are you sure they are dropping off in May? If they are I say wait. Amex is really hard to recon unless they made a mistake in their application. What card are you trying for? and what is your score?
There is one account which appears across all three CRs that is set to drop in April, and there is an additional account associated with it that reports only to EX that is set to fall off in May. These dates are from my EX CR so I'll trust them as legitimate. My DoFD is accurate. Considering the double derog hit on EX it would certainly be in my best interest to wait on Amex as I know they'll pull EX first. Okay I just talked myself through it / out of it, haha. I'm currently sitting at 662 on EX, and those COs are the only baddies I have.
I was thinking about looking at a PRG first to get some history with the company with a charge card before going for a revolver (probably BCE). I'm thinking I will get a pretty significant score boost when my reports are clean, so we'll see in time. 
@Involver wrote:
@Boragard wrote:
@Involver wrote:Hmm, maybe it's worth giving an Amex a try then .. I've got an old (2007) collection account and was also recently approved for IT and Freedom. I *really* should wait until they're gone in May though. Patience ...
well my charge off is from 2006! I have no idea why its still reporting as current. I have disputed it plenty of time to the point where Experian won't even accept any more disputes from me. All of the CRAs are saying it will be removed in March 2017! That would be 11 years on my CR. However, at one point the CO stopped reporting from 2008-2010. So I think that is why it will report until 2017, it seem to have rest the clock.
Are you sure they are dropping off in May? If they are I say wait. Amex is really hard to recon unless they made a mistake in their application. What card are you trying for? and what is your score?
There is one account which appears across all three CRs that is set to drop in April, and there is an additional account associated with it that reports only to EX that is set to fall off in May. These dates are from my EX CR so I'll trust them as legitimate. My DoFD is accurate. Considering the double derog hit on EX it would certainly be in my best interest to wait on Amex as I know they'll pull EX first. Okay I just talked myself through it / out of it, haha. I'm currently sitting at 662 on EX, and those COs are the only baddies I have.
I was thinking about looking at a PRG first to get some history with the company with a charge card before going for a revolver (probably BCE). I'm thinking I will get a pretty significant score boost when my reports are clean, so we'll see in time.
Well yes, I think you should wait. However, keep in mind I was approved for the Amex Revolver first then applied for the Charge account. Your scores are actually a little higher than mine. I am 680-690 on all 3. I don't know if this is true or not but Costco came to my job and said they were opening a new store and was looking for new members. I applied at work, he then asked if I wanted the American Express version or regular version. I asked for the Regular version and asked if they require approval for the AMEX, he said yes and "but since we are a new store opening we struck a deal with American Express so they will approve most new accounts within 30 days of our store opening". I applied at that time, in late November, and it was cancelled due to an application for The Green about 3 weeks earlier. Once the 30 days hit, I applied again and was approved. So I don't know if there is truth in what he told me or if it was because I recently got my scores up. Maybe a combination of both, who knows. Since I was approved for the Revolver I immediately applied for the Charge knowing SP if denied and HP if approved. That is noted in a link above.