I get that all the time, or used to. And don't get me wrong - I still love playing my old upright in a live, big venue setting when I can. The logistics are not as welcome as they used to be, but I'll never totally give up my upright.
I can "get away with" playing my Alembic in an oldtyme string band, right here in the cradle of Appalachia, (where they still hang 'lek-tric bass players) simply by knowing how to fit into what music I'm playing, and more specifically, knowing what not to play. I bet it's the same for you. It's about doing a job with a superior tool.
FWIW, the closest thing I have ever gotten to an upright bass with a bass guitar, is a Starfire, with T-I Jazz Flats, favoring the neck pickup and rolling off the highs about 40%, and playing over the last fret. It's uncannily upright-ish... and I don't say that lightly.