Personally, I decided the Deimos Lab was better to just raid and leave than actually clean out.
It's very easy to do a smash and grab to get all the breakable crates, the mods, and any exotics in there, and then split. It's really tempting to go for the big cache-that can be a run definer, getting a nice Nano or Onyx-but I was pretty afraid of exactly what happened there to you.
Phobos Lab I tried a few times. It's possible but it's really irritating and requires a pretty specific set of actions, as far as I can tell. (Lure most of the Nightmare Demons into the acid, be willing to blow some healing clearing out the tunnel further in because they are never, ever going to move, truck over to the west side, grab both Envirosuits, use one, hit switch, run left straight up the big acid pit until the second set of Demons are let out and you get the scripted loss of Envirosuit, use the second, then run right back over the acid so the demons follow you into that and get shotgunned to death, then leave.)
Mostly the loot's bad by N!, though. One mod isn't a great reward, neither is one specific shotgun or a Blue Armor, and the two large medkits-the reason I usually go in-I've never managed to actually keep through the whole thing on N!. For that matter, the times I tried the place, I usually slipped up someplace weird and died.
I was wondering if the AoD EXP stacked on N!. Since it does... I think you're onto something there, as far as ways to get through N! goes.