I recomend eliminated almost immediately after they enter the ring. Be a superheaviweight, and wait for them to enter. If you can't irish whip them first time, keep tapping RT, or R2, to counter their grapples, (irish whip) as strikes are unimportant in the Rumble.
I also recomend being a SuperHeavyweight, Powerhouse, such as Umaga/Taker. Also, rotating both analog sticks is alot better than repeatedly tapping the buttons.
England; time setters for the entire world.