Welcome to Smogon! Take a moment to read the Introduction to Smogon for a run-down on everything Smogon, and make sure you take some time to read the global rules.
What about a 1v1 Tier like the Challenge Cup 1v1, except with the pokemon movesets used in Random Battle? The 1v1 game style is quick and fun, but I feel like more practical movesets would add to the experience.