No car rental companies we know deliver to the villa as it's just not cost effective for them to do so. There are quite a few locations they could collect from in Disney that won't be too far from your villa and so they could collect from here the next day.

If you go to http://www.uscarhire.com/locations/floridacarhire.aspx you can see a list of available locations and you can zoom in on the map to see which one is nearest.