No credit card required
Browse credit cards from a variety of issuers to see if there's a better card for you.
Definitely not a limit on how many Chase cards you can have. I personally have 4, my wife has 2. I've seen forum members with just about every Chase card in the book. I could Chase rejecting a second application if the first application was very recent, but this isn't the case as you mentioned she's had her Freedom card for a year, strange...
Oz
I got my first two cards with Chase two months apart too. Freedom in Nov '14 and Marriott in Jan '15...
Oz
Matt
I'm only saying this because I'm trying to be helpful but the best course of action for you and your fiance is to stop applying for credit cards, whether they are personal or business. You have stated that the two of you are having difficulties in paying the balances that you currently have, which in some cases, have very high utilization. These bonuses are not free and the last thing you need to be doing is adding more balances so that you can meet the spend requirement. These bonuses will be around in some form when you two are in better shape to meet these spend requirements and have the ability to pay them off. Focus on whatever you can do to pay off the cards you have before adding more. Again, only trying to be helpful