Dave, you and I are probably in a small group here who grew up playing left handed bass...most others wouldn't even remember the Rhodes bass unit (I still have mine).
The idea of simplicity is key, at least to me. I also have had situations where a bass player didn't show, and I simply played left hand.
My preferred trio is a B-3 (or other keyboard with left-hand capability), a kickin drummer and a great guitar player. As you mentioned earlier, guitar plays light chords on top rythematically, and the keyboard can add inversions, hold chords and tastefully engage the leslie. When it's time for a solo, the guitar takes up the bottom end of the rythem.It's fun to work with a good horn player too, but this takes a slightly different approach .
This gives you so much more freedom to medley, change tempos, do extended solos and more.
It may not be for everyone, but I've been doing it for over 40 years, and it feels and sounds GREAT.
Give it a try, folks!
Russ