QB64 and the QLOUD?by Galleon (no login)
Well, I just set up the QB64 QLOUD which can host QB64 programs remotely. I'd say it would be your best bet from the description of what you want to do. Whilst you cannot run QBASIC programs within your player's browser you could run the game on our QLOUD server and have it spit out html whilst communicating with their browsers using QB64's _OPENHOST functionality. If this all sounds too complicated, give it a month or two and I'm sure the examples will start coming through.