I could have sworn there was a thread for this room before, but I'm tired of trying to find it...
Anyway, this room can be managed if you deal with one quadrant of roaches at a time. Specifically,
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×If you start by moving Beethro north but not east, you can concentrate on the roaches in the southeast quadrant.
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×Next concentrate on the northwest quadrant.
Also, there's a timer in this room.
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×The northeast quadrant has enough corners to catch one spawn of roaches but not another spawn.
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×You'll need to move Beethro pretty far east to deal with the roach queen in the northeast corner before turn 60.
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×So once you figure out how to kill the southeast and northwest roaches, you may need to practice killing them in few moves as possible so that you can move Beethro east in time.