I have an Alembic baritone that is part of a doubleneck that I usually tune from A-A (so let's see, that would be ADGBF#A? - it's too early in the morning!) So the low A is the same note as the A on a regular 4 string bass. Basically guitar tuning but on a different starting note.
But then I bought a regular 6-string bass with a low B and high C string - modern 6-string basses are usually tuned to fourths across the board - makes sense for bassists, maybe not so much for guitarists. So I had the brilliant idea to tune my baritone similarly, so that it became kind of like a piccolo 6-string bass. It really messed me up! Although I consider myself a bassist, I've played guitar for years, and I'm just used to that on an instrument with skinny strings.
I think it would depend on how much chording you do, and how much experience you have playing guitar vs. bass. I think the way hydragyrum has his tuned (B-B) is the way I would expect to find. But as long as you are careful with string guages, tension, etc., anything is possible.