No credit card required
Browse credit cards from a variety of issuers to see if there's a better card for you.
A lot of algorithms "remove" AU accounts from consideration during approval process. That way your profile will evaluated based on it's own merit and not someone else's payment history and limits
AU accounts may be helping you with credit age and utilization, but wont do much in terms of approval.
Also, you're not even looking for a card that would be useful to you. You're simply looking for "a card, any card"
So, the next question would be why, because that's completely erroneous approach to building credit.
Chase will SP after CSP approval. Depending on conditions set at approval, nothing may happen or any flurry of activity may cause them to yank it away. Up to you how you want to proceed.
One more thing, if your disputes come back validated, your scores will drop. Add that to credit seeking, and the possibility of AA is real.
Best thing you can do for yourself is to stop applying at this time. I personally do not see your profile as being able to withhold a lot of scrutiny.
In any case, good luck with however you decide to proceed