There are two significant problems with finding anything near Island No. 10... one, of course, is that the river has changed its bed and what was river then isn't necessarily so now. (The location of the island itself is part of the land on the eastern/southern side of the river now, as I understand.) The other is that if it was anything close to a navigable channel, it would have been rapidly removed as a menace to navigation, either during the war or soon afterward.
But I don't doubt there are some interesting artifacts in the mud somewhere around there, even if the boats are long gone. I mentioned in another thread that the histories relate older cannons being shoved overboard into the river by Union gunboats when they received an issue of better ones. I would not at all be surprised if there is a rifled 42-pounder or two still buried in the mud...