I haven't heard the Adcom amp recently, but I believe there have been several mentions of this combination maybe by Kal Rubinson in Stereophile. I based my recomendations on 1. a need for more power, 2. It seems money is an issue, 3. I owned the Adcom 750 preamp for a while it sounds great, 4.You could probably pick up the Adcom units or similar quality amps on Audiogon and greatly improve your system.
Perhaps your BAT has preamp outputs so you could add another amp (maybe even a BAT) and get your speakers to sound like they can.
Perhaps your BAT has preamp outputs so you could add another amp (maybe even a BAT) and get your speakers to sound like they can.