I was very interested in this when I first got my alphagrip. However, the biggest problem with a simple solution like that is the difference between USB host and USB device. The alphagrip only acts as a device, it can't act as a host (which is require for a BT adapter to work). It would need a microprocessor on board to translate the key presses into USB signals before they were sent out over BT.
I think the best solution to this problem right now would be to get an arduino microprocessor with a BT shield (i.e. adapter) and use it as the power supply /USB host, that would also transmit the wireless BT signals to a receiver on your computer. The arduino has USB built in to it.
Fyi, I have even tried this by disassembling a wireless mouse and stuffing it inside of the AG. It didn't work :(.
The device that Mike linked is a commercial product that does what I was suggesting. The disadvantage as Mike mentioned is that you need to be plugged into the wall.
USB power is simple, so this would be easy to solve. Pins 1 and 4 provide 5 volts (with one of them being ground) for devices requiring power. Pins 2 & 3 are the data pins.