I have a room full with crap; even at $1/day per case (which I would pay long term), I can put enough cases in there and easily get them out to pay triple the mortgage on the entire house every month... All my chinese and thai friends (where I store stuff now) would gladly long term store cases in their houses: 20-30 of them for sure.
Short term they would not but 2 weeks or more; many people working abroad would jump at that.