Sorry for my ignorance, but where are you located? In the UK, you might try here:

Stephen Courtney
Royal Naval Museum
HM Naval Base (PP66)
Portsmouth
Hampshire
PO1 3NH
England
Telephone : 023 9272 7578 | Fax : 023 9272 7575
Outside UK - Telephone : 44 23 9272 7578 | Fax : 44 23 9272 7562

Museums are a bit choosy about accepting donations if they have no way of storing and preserving the articles. It sounds like your uncle wanted them to be appreciated for the treasures that they are, I'd be hesitant to just give them to someone who was going to stick them in an inaccessible archive somewhere. Best of luck, and let us know how you fare with it.
~Jen