Moving across country, can't inspect before moving in: best course of action?

Me and my family are planning to move across the country, to Ohio most likely. After looking into costs, it would be financially difficult to impossible to go there and inspect properties before making the move, especially since all of us are needed in order to pack and prepare for the move.

At the moment, our thoughts are to hopefully find someplace month-to-month or at least with a very short-term lease which we can then choose to stay at if it's acceptable, or if it turns out worse than it looked, simply use it for a month or two as a place from which we can search for better locations once we actually get there.

Are there any better courses of action we can take? We have no family or friends in the area who we can ask to inspect the properties for us.