Were you previously able to load those saves (ie if you died, or took a break and came back)?
Try deleting the files within the dynamic folders (not the folders themselves, though);
'..\beyond_divinity\Acts\Act1\Dynamic', '..\beyond_divinity\Acts\Act2\Dynamic', etc.
These folders are used as a cache for the game. Files are created / copied there from the save game folder when you load, and written / copied to those folders when you save a game. The files will be re-created as required the next time you start Beyond Divinity. If there was a corrupt file from a later act it might not effect a new game.
If you checked the install folder to make sure there was nothing left (other than the saves) when you uninstalled, then you already did this.
If you zip one of your saves and email it to me (raze@larian.com) I can take a look at it, and if the problem is in the save itself, possible isolate where.
You can avoid problems becoming encumbered if you use one or more of your summoning dolls as mules. The act 1 doll, for example, can equip a crossbow, so even if you use it in combat, it doesn't really matter if it becomes encumbered and can not move.
Crashes Every Time I'm Carrying Too Much (Steam) - initially I was unable to replicate the problem, but figured out the steps to do so