854
But first they would need to invent some tape
(i.imgur.com)
They could have fitted the whole ring / tape / mouse assembly into a small paper bag Aragorn could have kept it in his jacket and fed it little bits of lembas on the way how lovely x
The mouse definitely would have escaped and ran straight to Sauron.
Yep. This particular configuration only works because of Sam's devotion to Frodo.
We need more configurations.