East definitely but there may be another path closer than going north. It may just be showing us paths that connect.
If there's no option for south at M and nothing on the map then we should probably go east unless N won't let us go further east. At this point I don't see the game going on for the amount of moves that it will probably take us to navigate out of the maze.
8 players, 2 of which are killers, 2 kills a day + 1 execution, we have 4 days at most and 2.5 at least. There's no way we could go E E N N W N E E E S even if we only lost 1 of us a day.
There has to be some kind of southward path that leads to an exit. My guess is that the exit is probably at G, or K since one of those is closest to both the top and bottom routes we appear to be able to take..