hi OverDub,
i had an issue last year with a publisher registering my name wrong to BMI (he wrote my first name wrong).
I’ve contacted BMI (emailed them) and they said there was no problem,they’ll keep both names on my account,in case there are future cue sheets addressed to the wrong name.
They also asked me if i would like to add more artist names to my account.
So,send them an email and tell them you want to add more artist names to your account.They usually respond after 3-5 days.