If you run the ghoul town missions with the smoke/upgraded smoke armor, it's fine, well other than not being able to see shit and stuff exploding into flames all around you. But you won't take any environmental damage, aside from the aforementioned fire which is mostly easy to avoid with a little practice.
The mansion missions have a higher ranking member of the faction represented, i.e. guild = guild rep, academy = academy esper, etc. It might take a bit of practice to do mansion missions well, they can be tricky at first. But yeah it's absolutely doable in the 32 turn limit if you strike hard and fast. One caveat, if you get unlucky enough to get a zombie infested mansion, run like hell