Just to add to my post asking BIAB to institute AI vocals so a BIAB version would do it. SUNO has basically done it! they've added a new feature that will do "cover songs" so if you add a BIAB song, with a rough vocal (like i used to do for my demos) tell it what style you want.... it will do a cover of your song with your tune. It is spectacular... however you have to get the paid version (it's relatively inexpensive $10 a month or $96 dollars if you pay for a year).
This is minor, but I'm listed on site as a newbie, but I've had every edition of BIAB since it first came out in the early 90's and wrote an Emmy nominated song using tracks from BIAB

BIAB user since it first came out, 15 years as NSAI Regional Coordinator, Emmy nominated songwriter, Playwriter "It Started with a Kiss" 12 time Emmy winning Investigative reporter