I wanted to clarify this by saying that I didn't mean to leave the fan hanging inside the tent. I meant it needed to stay as an exhaust fan.
@AZreefer suggestion to mount it outside is a great way to free up space inside the tent, especially one like yours where there isn't much room for any gear.
The one thing I would add is to have a way to exhaust the air inside the tent outside the lung room the tent is located. For your 2 x 2 it isn't a big deal but in a larger tent where you'll have multiple plants the moisture they create needs to be exhausted away and not recirculated within the lung room that is feeding air back into the tent. Dumping the inside tent air back into the lung room will eventually raise the humidity inside the tent. Maybe not a bad thing in your area as the southwest seems to be perpetually dry but as general practice you want to exhaust the air your exhaust fan pulls out of the tent to the outside and not back into the lung room that supplies air to the tent.
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