Maybe set aside a few meetings to sort and mass cut up some kits? These can be put into zip lock bags and tied up in bundles with the backing fabrics. Have some of the members come over and help sort the larger pieces from the smaller ones... Maybe some of them can take fabric home to cut into various blocks or strips?
Once you get a grip on what you have the future donations can be sorted and put away.
(((HUGS))) to all of you for being so generous with your time to make these quilts :D:D:D