If you have a BofA card in a DMP program, do not apply for any new credit.  They will terminate you from the program.  That happened to me.  If the BofA card is PIF, then feel free to apply for anything that your current FICO score and CR would approve.  Being in a DMP has had zero effect on my ability to obtain credit at the best rates for my score and credit report.  LOL even BofA will eventually send you a pre-approval offer one of their cards.