I haven't done anything so extensive but my experience from similar stuff is that:
a) It's a bit grim living somewhere that is part building site. There's dust everywhere, various stuff isn't working, if you're home during the day it can be noisy, etc
b) Things can move quicker if there's less concern about someone living there. A room can be used as a bit of a workshop, the property doesn't need to be made habitable each day (e.g. you can leave the water turned off for a few days), etc
I'm not sure if you need to go as far as putting stuff into storage but not living there may make it a bit more pleasant. Although whether the cost of an Airbnb is worth it is probably something you need to consider yourself.