I shoot a 10 gauge NEF single barrel. I have a Rhino .720 and a Trulock .695. Ammo is 2oz. Heavyweight 15cc # 7's. I get a bit hotter core with the smaller diameter but a more even pattern with the Rhino.
With tss you probably are shooting 2.5oz loads with 500 to 900 pellets. I jokingly will say it won't matter which choke you choose with those roman candles....lol.