Well, experience says the SSX choke will work with the Hevi. When your shells cost several dollars each, a matching turkey choke doesn't cost that much when it saves trial and error.
The Star Dot you have will work with 1 3/4oz Win Pb #6s. Those are a lot cheaper.
I've had excellent results with lead 2 oz #4 Winchester loads. Alas, I can no longer use lead shot in California.
