Psychic-types are really good here, since moves like Psychic receive field boosts. Does your Meowstic have the Prankster-ability, and does it know Reflect/Light Screen?
The thing with HitmonLEE (not Chan) is that it has Unburden -ability, which doubles Speed if held item is used. Since Hitmonlee has Normal Gem, it can go first with Fake Out and thus use the Normal Gem, making it extremely fast. Paralysis halves Speed, but if Hitmonlee already was faster than Blaziken before gaining the boost from Unburden, Hitmonlee is still faster.
You could level up Golett, it evolves at level 43 into Golurk. If you can, make use of No Guard -ability and Dynamic Punch. I'd say Meowstic is your best mon in this battle, since Psychic is so powerful. Just beware Sucker Punch and Scrafty.
What moves do your Pokemon have?