Further to my last post, I wanted to add some info that someone may find helpful, after wasting much of my afternoon troubleshooting this issue. READ ALL OF IT BEFORE TRYING ANY RESETS!
I first tried a PMU reset, as advised elsewhere, and detailed here:
http://support.apple.com/kb/HT2183
The article is titled "Mac Mini: How to reset the PMU". HOWEVER...this caused my INTEL Mini to restart with the fan running full speed (it's never run once before, ever) and the light on the front of the case to stop working. And then on closer reading of the linked kb article, it does say under "Additional Information" that this procedure is not for an Intel Mini! And of course Google reveals that any idiot should know Intel Minis have a SMC not a PMU. (Geezus I bought a Mac so I WOULDN'T have to know crap like this!!)
DO NOT USE THE ABOVE LINKED ARTICLE IF YOU HAVE AN INTEL MINI!
(And always read the entire page before attempting a procedure. I accept responsibility for my actions but seriously, you would think this would be detailed more prominently especially when adverse effects come from a procedure inappropriate to the model...)
So now I'm Googling for a remedy for THAT issue...a non-working front light and a fan continuously running at full speed. And find the solution, the procedure for doing an SMC reset for an Intel Mini:
http://support.apple.com/kb/HT1543?viewlocale=en_US
(This article is entitled "Intel-based iMac, Intel-based Mac mini: How to reset the System Management Controller", hey Apple how about re-titling the other one to "PPC Mac mini: How to reset the PMU:?!?)
This corrected the fan/light issue. Whew.
I include all of this info as it may be relevant to someone trying the same thing with their own reset in an attempt to resolve the BT issue.
All of this is to say that the BT issue was not resolved by the resets. BUT...in the course of multiple restarts, I did accidentally discover something. When a USB keyboard and mouse are left plugged in between restarts, the BT keyboard DOES stay connected! (***?) So my workaround is to leave my cheapie generic USB keyboard and mouse plugged into my Mini all the time. With my HTPC setup I have a drawer dedicated to power supplies and wiring, so the perepherals just live in there now out of sight.
So now when I restart the Mini, the DiNovo Edge BT keyboard is there without having to reconnect. Inelegant and decidedly non-Mac but c'est la vie. Does anyone know a software hack to spoof the Mini into thinking there's a USB keyboard and mouse attached? I'd like the two USB ports back...Apple, just fix your frickin' drivers already.