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The % utilz you have will make it hard. I would try Amex . Dw Amex BCP started with $15K limit they pul exp
High utilization is a huge fear factor for lenders right now. If you are pulling in $15000 a month gross, I assume you have the option to just pay it off over 3 months somehow?
As long as you're riding near maximum utilization, creditors are going to be concerned about doling out more credit. Keep in mind that some older FICO scores considered anything over 85% to be maxed out, so if you're at 90% or more you may already be triggering the maxed out consideration.
You're issue is definitely going to be the utilization. If there's any way you can pay down even 1 of the cards before looking for a BT card that would be a good idea. I know you're saving for a wedding, been there done that, but in the grand scheme of things a wedding is 1 day, you're financial freedom is a lifetime (I sound like my parents so I apologize). I would definitely try to do something to get a dent in that utilization. Good luck!
And in terms of a BT card, i did one through PenFed, got a $25,000 cl and transferred $5000 to it. My scores are below, my utilization is at 8% currently.