On one hand, I feel like B'Elanna should definitely be The Professor as she's the most likely/capable of building a subspace radio out of a coconut. On the other hand, The Doctor definitely has that "haughty, tenured professor who knows he can't be fired" vibe. On the other other hand, The Doctor would be a good Ginger since they're both massive divas lol.
I have to admit, I only have a passing knowledge of Voyager. I watched it in chunks when it aired and have never done a proper viewing, so I'll defer to your opinion on this.