I wouldn't attack with Gothitelle, I would just stick to the basic strategy. I don't see this going too many places, though– 30 damage, even with snipe, isn't a lot, and your opponent will most likely keep hammering away at your Gothitelle. You run out of Max Potions at some point, and then you're done.
If you did play Gothitelle, I think Copycat would be a given. You'd probably need a starter (Cleffa? Manaphy?) to get your Stage 2 and 2 Stage 1s set up (assuming you run Dodrio) in time. Remember, TyRam has a tough setup, and that only takes a Stage 2, Stage 1, and a Basic.