Not sure if it was suggested by others before...
In order to get rid of base offense for BOT, can BOT be managed by a committee of managers? Say, a BOT still advance to next round of cup games (or playoff / relegation games), then I would be invited to manage that team for a week.
I can help this team to buy players (not my players), sell players and set up the tactics for one game.
If it's advanced to another round of cup games (I.e. next game against real BB managers), then next manager will help this team. BB can select any manager randomly and we receive such notifications by BB mail.
Hope this would make BB cup games more fun and competitive than before.