There are 8 switch possibilities. 23 :huh:
You could have the switches set flags 0-2 on or off. And then, when you enter an are use a series of flag warps on both sides of the room thus:
screen 1
-> flag 2 test
screen 2
-> flag 1 test
screen 3
-> flag 2 test
screen 4
flag 0 test
screen 5
-> flag 2 test
screen 6
-> flag 1 test
screen 7
-> flag 2 test
screen 8