Let me get this straight:
We want to directly, mechanically couple a microphone- body, capsule and all, to the back of the board? Doesn't sound too logical to me!
A much better way to do this would be to hang a 58 or similar *behind* the backboard, about a foot back, pointed at the floor of the court. This will result in a more realistic sound, pick up of the spectators, the sound of the players on the court, and also result in a more natural effect. It will also keep the mics from getting the hell beaten out of them everytime the ball hits the backboard.
Drape the cable over one of the support bars on the back of the support frame and just let the mic hang there. Or, you could use a wireless lav in the same way, thereby eliminating the need for a cable.
-A