When my hubby and I had first got married he wasn’t allowed to be on my credit union account because he had been hit by “check systems”. He wrote a bad check once a few years before. We had to shop around and found that Washington Mutual would let us open an account.
I would keep looking around like Eldred suggested. And if in the end you can’t find one, I would keep the bank you have now. Many transaction can be done through the phone, internet, and atm’s. Then when our credit is repaired, then shop for another bank.