(1) This level will not be as bad as the last PILOT'S CHAMBERS because there are fewer aliens to deal with and you will only have to make 1 full circuit of the level in order to kill them all. When you start, don't miss the flame thrower canister right inside the entrance chamber with you. Move out and grab the shotshell if you need it.
(2) Work clockwise to the next pair of alcoves. Kill the warrior and facehugger here and then turn your attention to the powerups. Grab the med kit and a brace of warriors attacks from behind; approach the shotshell and a single warrior mounts a frontal assault. These vanquished, move forward, dealing with the 2 facehuggers along the way.
(3) Once at alcoves 5 you will kill 2 warriors and 2 facehuggers. The exit chamber is also here and holds a single shotshell, but only someone like, say, Carter Burke would leave this early in the level.
(4) At the next paired alcoves is a single warrior guarding a med kit and shotshell.
(5) Keep moving and eliminate the pair of warriors at alcoves 7. Grab the med kit if you need it, and BACK into the flame thrower canister so you are ready to face the 2 warriors that materialize the instant you touch it.
(6) There is only 1 remaining warrior in the next pair of alcoves--kill it!
(7) Now reverse your route, moving COUNTERCLOCKWISE to the exit at alcove 5 so as to revive the fewest enemies before making good your escape.