Okay, I very much like the idea - how long did it take you to set up the arrows?
However, I think there's a lot of things to capitalise upon. We probably need to run this as a sort of "beta map" - ie. prone to change and balance issues. Due to the complex nature of the map there might be unforeseen balance issues - ie. starting at the wrong side of the board might be to your disadvantage.
There should be more continents or more continent bonuses, and more rooms in general - because there of the one way routes this compensates for that. We want a fun game of chasing each other around, as opposed to a dull stalemate/closed game. More rooms would solve that. I'm concerned there will be more bottlenecks than usual (intentional), but we don't want too many either.
Make a minority of the passages two-way - it will add an element into the game.
Teleportals - more than just between rooms, there should be portals across the map, perhaps? Perhaps some will be one-way, some two-way. Or perhaps portal that also converge at some center region of the map (one-way) - holding that region has a bonus while facing all the onslaught, in addition to the Halls.
The edge of the map - I think this would be the best place to place the portals. Part of the problem, methinks, is that it feels too two-dimensional - hence, there isn't just a dead-end by being at the edge of the map.
I think people are going to spend long hours on their turns just thinking of the best route to think. Congratulations, you've created a risk form of chess!
