Ah, the good old bluetooth problems. The really interesting thing about the bluetooth on the Mac mini 2011 is that it is in fact Bluetooth 4 - low power - and I think it might even be a combined Wifi AND Bluetooth on the same chip.
The exact drivers to make this work are actually included in Snow Leopard (!!), but were introduced to SL in the 10.6.8 update (they were not in 10.6.7). I actually went into the drivers and checked this was the case. This was really really strange, as I think this particular wifi/bluetooth chip was originally ONLY in the 2011 Mac mini and 2011 MacBook Air at the time - both of those Macs NEVER even shipped with Snow Leopard! You might be asking yourself if this was deliberate on Apple's part... including drivers in the OS which are not going to be used... thats a bit weird right?
Unfortunately even though the correct drivers for the Wifi/Bluetooth are included they have not received any updates, obviously. I was hopeful that Apple might do a 10.6.9, like Microsoft did an XP SP3. But it didnt happen. There were even Apple support articles which referred to 10.6.9, so it must have existed in some form within Apple.
I've had all sorts of problems where the wifi seems to drown out the bluetooth signal using SL. I actually wonder if this is a hardware problem, which is now being masked by some clever software (there are more recent drivers in Lion, ML and Mavericks!). This is something you would have to live with I think under Snow Leopard.
I should just say I cant see how its possible to run SL on anything more recent than the 2011 model.
I will see if I can make a video recording of how to use System Image Utility.