Donation Options for Fossil and Mineral Collection
I work for an university collection and wo often deal with donations. If you contact a museum or university collection, be prepared for the following questions:


How many fossils are approximately included in the collection?
How were they acquired? Were they bought on fossil fairs? Were they self collected?
What's the weight of the collection? Sounds weird, but this is important for storage calculation.
Is there a list including all specimen?
Are all objects properly identified and labeled? This includes the following information: Find locality, Genus, if possible species, geological time including finer stratigraphy. Examples: Diplodocus carnegie, Upper Jurassic, Morrison Formation, Wyoming or Kallokibotion bajazidi, Upper Cretaceous, Maastrichtian, Sanpetru, Romania. The more information, the better!


Why are these questions so important? If you want the objects to be "hands-on" for example for students studying these objects, they have to be properly identified. No student or researcher can work with "trilobite of unknown age and source". All collections provide hands-on research for those who request it. We do the same. I have a lot of guests coming to our collection wanting to see Triassic ichtyhosaurs, golden ammonites from Opalinus Clay or anything else. In this cases, I prepare all fossils for hands-on access. 

In your case, I would recommend the Paleontological Collection of the Indiana University. The collection is quite famous, often visited, and has a very good recommendation all over the world. 

See here for their webpage