A few pages late, but...
There are very "cheese/safe spots" in the final rooms of both The Wakening (NOT the cave/alcove on the left in that room) and Rasputin. In any case, with the right load-out, solo'ing either of these missions isn't too bad--both typically takes me 15 minutes or so even taking out all the adds along the way. If one were solo speed-running those missions, it would probably take 10 minutes or less.
Here are the
stats from my last solo Rasputin run yesterday. You can see it took a little over 20 minutes, but you can also see by the enemies I killed, I actually spent 5 to 7 minutes of it waiting and completing a Public Event in the Mothyards (extraction crews) before I went onto the actual mission.
We
completed Rasputin here in 8 minutes with a 3-man fireteam. And here,
solo Wakening in about 19 minutes.