As a further note --managed to get past the level 3 times in a row now. Thanks in a large way to posts in this topic. I even manged it quite cleanly without a rocket launcher or phase device! (although I didn't find a rocket launcher at all, and tried to tackle the lab without it, which lost me that game)
My tactic, now, is pretty simply clearing one side of the chained court with no berserk, then using berserk to clear the other side, and taking the mods, then using the 4 berserk packs and leaving the level. Twice, this got me to the anomaly with berserk running. Once, it didn't work. Obviously I also try phase devices if I have them, and finally I make sure to rocket jump after walking 11 tiles out of the door.
More than anything else, though, I'm ensuring that I run *right*, and making a point to kill only demons and imps with a shotgun + shell box, only turning on cacodemons if absolutely necessary, while always running *right*. The bruisers don't take more than a single large, sometimes I can even do them without taking damage, so they're no real trouble. i think my biggest mistakes were traveling left to get back into the starting room, and being binary about fighting or fleeing the level, when in fact a half-and-half approach seems to work rather well.
Also to note, going for the berserk run seems to *seriously* reduce the chances of finding a phase device or a rocket launcher in time. Gonna keep experimenting with matters of priorities until I get something that feels semi-reliable...