Now that would be fun!I have shot two grey or common duiker with a .300 Sherwood. It worked splendid, and it was fun to hunt with the little BSA Martini falling block rifle. Incidentally the rifle used to belong to Fred Everett, and his wife Sue used it on Zebra.
Otherwise I can think of few things better than a 9,3x62 with a 286gr solid at 2250-2300fps
I have two single shot rook rifles that would be ideal as well. One is a lovely Steven Grant that is also built on one of the tiny Martini falling block actions. This one is in .380 Center Fire (.380 Long). The .380 Long Colt works beautifully in this little rifle.
The other is a Birmingham gun built by Laurenberg and uses the Westley Richards action. It is in original .44 Winchester Center Fire (.44-40)! Perhaps a stopping rifle for an enraged opossum? Either would be ideal in close cover for several of the Tiny 10.