I remember this being a frustrating room.
I managed to cut the E snake 3 times, S once and W twice before making it to the brain. I seem to recall there being a lot of trial and error, but in my winning run I was inefficient and had moves to spare.
A more precise description of how I started the room:
Click here to view the secret text
×
Grab the speed potion and clone potion as fast as possible.
Place clone on central pressure plate and immediately move South once. Orientation up to this point shouldn't really matter, but N would be more efficient than what I did I guess.
Run around the outside cutting three snakes and then deal with the roach.
That should solve the room.
____________________________
106th Skywatcher