Left Hand bass is my favorite way to play.....even as a OMB. It's not only possible, but PREFERABLE in many ways because it really keeps teh groove together. The bass lines and the chords worl together, they "kick" together and provide a unique, fresh arrangement each time you sit down to play. The bass is the SOUL of the arrangement, and is a BLAST to lay down in real time.
Get a player that listens to and compliments the drummer, and you'll have a great time together. There will be almost no need to reherse, because the piano, bass and drums will be right there. You just have to add the guitar "fluff" on top. Sounds like fun - good luck in your search!