You also may want to step back and look at what your entity is doing. Are you opening up an account? You would still want the owning entities on the account, the DBA could not be the owner.
For a loan? You wouldnt want the entities signing as a DBA, you want the entities who can be held accountable signing on the loan.
if they just want another (DBA) name on a deposit account to help them keep straight what the account is for, I see no problem with adding that, but not as an actual owning or authorized entity.