Get the Mad Catz Street Fighter X Tekken Arcade Fightstick Pro Cross for xbox 360.
The thing about wireless is this, far as the Microsoft Xbox 360 wireless game pad, Sony Dualshock 3 & Six Axis and the Nintendo Wii Remote are all examples of Good Wireless Controllers.
They are perfect for home use. Those Hori wireless Arcade controllers controllers are at best crap and at worst needs to be burned to ashes then have a Catholic Priest perform an exorcism on the ashes.
Now for Tournaments, you have little to no options if your battery dies at a tournament. The Tournament organizers are not required to load you a charge cable, or give much time to look for new batteries or a replacement controller. If a battery dies in a middle of a match, plain and simple you just forfeit that match. Many Tournaments flat out bans the use of Wireless controllers. Wired controllers are NOT known to lag, they do not suffer from the risk of batteries dying. Evo Flat out bands the Sony Dualshock 3 and Sixaxis controllers or any other controller that does not need a dongle to connect wirelessly. Now Evo allows Dual Shock 3 controllers that has been specially modified to have there bluetooth wireless transmitted permanently disabled so you are forced to use a USB cord.