This is probably a dumb idea but I'm going to do it anyway

. Recently I've been playing mandolin and 4 string banjo a lot, and I really love the 5ths tuning. Things tuned in 4ths (especially guitars) sound sort of flat to me. However, obviously 5ths doesn't work really well on bass guitar.
So I'm thinking of getting a 3/4ths bass and tuning it in 5ths like a cello (or even an octave lower, if that's even possible). The goal is to be able to play fun stuff like the Bach cello suites in the original tunings.
Anyhow, is there any advice you can give me on string gauges? Do they even make 5ths tuning string sets for electric bass? If I want to tune it like a cello should I just follow the cello gauges?