Yeah, totally different amps. You really need to try one out in person.
I play a couple of older style Buddas (Twinmasters). But, I feel the overall impressions of these are similar to what I think of the newer SuperDrive Series Amps.
The Buddas have a tighter Bass to them. Very percussive feeling/sounding. Very compessed Mids (Probably the EL-84 Power Tubes?). And, very loud. My 210 Combo is 18 Watts, and can hang with a lot of 40 and 50 Watt Amps.
Part of what makes a Tweed Fender what it is, is the Farty Bass. And the sweet Highs. The Budda has a different type of High End, too. More hard-edged, and focused. Where the Bassman is big sounding and warm, the Budda is aggressive and punchy.
The Budda really is more like a mix of a Vox AC, and a Hot-Rodded Marshall Plexi.
A couple of things to try with the Bassman, that will yield different Tones?
Running the Bass below 1/2 way. Maybe at 3 or 4 (Out of 10).
Cranking the Highs on the Amp, and lowering the Tone Pot on your Guitar down all the way, and slowly bringing it up, until you find a "Sweet Spot" (Probably around 3 to 6).
Swapping the first Preamp Tube (V1), for a lower gain version. Like a 12AT7, 12AU7, or 12AY7.
Swapping the Speakers. This is the single change that will probably make the most difference. Especially if the amp has those God-Awful "Jensen Re-Issue" Speakers. Yuck! A more effecient Speaker with higher power handling capacity, will probably help with the Bass Response. Maybe some of the new Patriot Series from Eminence. Or, some JBLs, or EVs.
I'd definately suggest trying some of these approaches, as opposed to just getting a new Amp. The Bassmans are great Amps. The Speaker and Tube Swaps I mentioned, are completely reversible. So, you could always put everything back to "Stock", and sell the Bassman, if they still don't do what you want.
As for the Buddas? You really need to try one for yourself. Internet Clips and descriptions won't do them justice. Great Amps! Just completely different.
Hope this helps.
Early 80's 1957 U.S. Vintage Reissue Stratocaster (Surf Green)-Warmouth Soloist Pearly Gates Neck, Pearly Gates Bridge- Larrivee D-03 (Mahogany/ Spruce)
Carmen Ghia Head- Marshall 112 Cab W/G12H 30 or Custom 4 X 6v6 Head or Budda Twinmaster Plus Head-Traynor 212 Cab w/Eminence Texas Heats.
Mo'D-Eternity-Blues Pro- Timmy-BYOC Chorus/Vibrato- TC SCF- Korg DT 10 Pedal Tuner