The only original Acoustic amp I ever owned (or played thru for that matter) was the 360, so I can only speak for that. This Humble Pie track is a great example of a p-bass thru a 360:
In comparision the tone of my B200 combo is not as clean and round sounding, more gutsy and gritty, still a great tone for classic rock. And also how the eq section of the B200 is tweaked (and whether the horn is on or off, l keep it off) can make quite a big difference in the tone. Regarding overdrive, personally I don't care for the solid state breakup you can get by overdriving the gain stage of the B200, I keep the gain relatively low and adjust the master volume for my level. My 360 never came close to distorting, even at high volume, it would blow walls down first.