Hi. The Bvision (Like the A4000 CVision) is a RTG only card. I take it you are using either Cybergraphx or a newer Icomp P96 (Picasso96) to display your Workbench?
I’m guessing you have a RGB to VGA for native modes?
The way I do this these days is with a Scandoubler/Flickerfixer like a Icomp AGA which clips onto the Alice chip. Then I use something called a RATTE auto monitor switcher which uses a small Piece of software in Startup-Sequence called “SwitchControl”.
The RATTE uses a clip on over a CIA to monitor Native to RTG switching.
The RATTE can be bought over on Amibay. Software from here
https://www.ikod.se/ratte-auto-switch/