I stayed at one of the extended-stay type places, but was only there for about a month. If I had it to do over, I'd probably use the SkyWarrior housing to save the extra $600 I ended up spending.
The travel trailer also sounds like a great option. I might choose that over the shared housing because I value my personal space.
I think the SW housing will put you pretty close to the airport, which is nice. You'll have access to a full kitchen, washer/dryer, etc, which are great amenities for a 1-3 month stay.