O.o YAY! XD you know, you should include Thaddeus Kosciuszko instead of George Washington, whom we know has no musical instrument skills whatsoever. Kosciuszko actually played harp, and harpsichord... and proficiently enough to compose his own polonaise on it. harpsichord is pretty similiar to a piano(totally different sound, but more period) here's a random source i found with more information about Kosciuszko's creations [link] apparently, he was quite the dabbler. no wonder he and Jefferson got along so well. he, Jefferson, and to a certain extent Thomas Paine(another underappreciated dabbler) - or as much as one can get along with Paine.
or you could include Benjamin Franklin on the glass harmonica, even though he's really close to dying at this point(1789) but I hear, glass harmonicas don't pair well with violins...so yeah, Kosciuszko on the harpsichord.
though i must admit, i feel like i have to come to aaron burr's defense... there were reports that towards the end of his life, after the death of his son, hamilton grew increasingly distraught and manic depressive...that was also in the Ron Chernow bio (which IS an amazing read, all 700 pages X) ) and it was thought that the duel was just an excuse for assited suicide. he DID willingly fire into the air, and burr just reacted at the sound of the gunshot.
i LOVE hamilton, but i really do beleive burr gets the short end of the stick when it comes to how the rest of the FF portray him.