Going by your signature, and as long as your EX report doesn’t have unpaid baddies and you have some length of credit history, your profile looks quite close to mine. I have the cards in my sig, two paid collections, 12 year AoOA/2 year AAOA, without any real significant limits other than Disco ($2800) and Target ($2100). Utilization around ~50% aggregate, and on Thursday I cold-apped and was approved for both the Delta Skymiles Gold and the Hilton Honors cards with an EX of 627, despite their prequal page saying they had no preapproved offers for me. I was given small SLs ($1k on each card) but I’m in and glad to be, and I’ll nurture the cards and the relationship with AmEx carefully as I know of their tendency to grow. Plus, for me, as with others, AmEx is and has been a “goal card” and I’m thrilled to have achieved it, regardless of small SLs.
As Brian said in a reply (he did the same with a similar setup as me - a little higher EX but I think a couple additional baddies of some sort), sometimes you just have to shoot for the moon and see what happens.
I’ve seen several posts on here in the last few days of people being approved for the Delta Gold despite an EX profile that historically wouldn’t suggest a chance at approval.
It will definitely come down to a mix of your score on EX (which at least one other person I saw had around 617 and got in) and your profile particulars, but if my assumptions are in line with your reality, I would think that given the success I and others have had recently, if you can spare the HP it may pay off for you. The Delta co-brand cards are reputed to be the easiest to get. If you’re still a little uncertain, maybe look at the Delta Blue instead of the Gold, as it’s a step down, and might be a little easier, but the counter argument I’ve seen is that the AF cards (which the Gold is, but the Blue isn’t) might be easier because AmEx knows they’ll get paid simply by granting the card. YMMV but these are my data points and my experience this week seems in line with several other forum members who have managed to get in the AmEx door with a Delta AmEx.