During Bk 13 you can get permission to purchase a new vehicle. I forgot how long you have to be in but you can't have any late payments. My Lawyer filled out a report on my finances and they tell you how much you can spend. Took about 10 days for the approval process. You won't get good rates.
Congratz on your Discharge!
Congratz on your CAP1 card!
Congratz on successfully enduring your Chapter 13!
I too recently completed a Ch 13. The past 6-8 months have been a slow and at times an impatient process of continued "Waiting. However it gets better!
With B of A, they should approve, or at least counter with a secured card. If offered a secured, you should be able have it graduate within probably 6 months time.
Before I submitted any applications, I waited two months until everything on my 3 CRA reports were correct, up to date, and reflecting a change of address. With accurate data reporting, identity verification and application processing was effortless.