You can blues on anything. That said, I think there's probably nothing worse than a floating pickup archtop for playing at any volume. The feedback could easily be an issue playing to 50-100 people.
I'm personally not a fan of solid state, even for clean jazz. Can you mic your amp? Are you going for some dirt in your sound?
I would just mic a small tube amp, but if that's too expensive...
Can't mic: I'd do a Line 6 Spider or maybe try a Line 6 Pod through the bass amp
Can mic: Pignose
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