As of the latest versions of both the IOS and the apple TV, Apple is using a more direct route. Disconnect the Apple TV from the network (wireless and wired) completely, enable bluetooth on the ipad, then do an airplay.
With the latest revisions, the bluetooth is used for discovery, then the apple TV and the iDevice connect directly to one another on channels 149/153. I have yet to play with it much, but my guess is it should work very well as long as your wireless is not using 149/153.
Bob