Curs, and Fiest are the go to dogs for sure. Laika's are getting more popular. If you had one of the breeds you mentioned I'd suggest introducing it to treeing and see how it went. But if you want a dog for squirrel hunting getting a squirrel dog is the smartest move. By the way, if you would pick an Irish Terrier you'll have no trouble getting along with a Fiest or a cur.
Good luck whatever you choose to do!