I always think basswood has a very "neutral" sort of sound, it doesn't colour the tone too much - it's almost like you hear the pickups more than the wood. You can get away with pups that would never work in a warm mahogany guitar or a bright ash guitar. So yeah, just about anything.
Having said that, I've had a couple of basswood Japanese Fenders that sounded very weedy. So maybe it's anything except vintage-output single coils. :?