Some statistics.

When there are three paths leading to three secondary locations, it's considered a chaotic generation. A normal generation would have one path to the main location and two to the secondary locations.

That's what I'm saying; I prefer the chaotic generation with one secondary location. The main thing is that there shouldn't be any penalties. I've created a map for you with two secondary locations for each player. Feel free to use it. There are no paths that lead directly to the main location. The only exception is a path through a treasure location, but that's a common issue and can't be fixed. It can be fixed, but that would be a minor change.