(edited : sorry SSEi93, you beat me to the punch by a couple of minutes and I didn't see you post in time.)
Are you watching SSEi93'* thread?:
There may be nothing more than just a corroded connection. Remember, our treasured Bonnevilles are getting pretty old :( . Do some searching as indicated.
I'm just guessing, but your compressor may have been the straw that finally broke down some marginal connection (but apparently didn't blow any fuses, right?) in some weird way (or may have been just coincidental, of course. [Oddly, it was when I blew the front ligher fuse with a power invertor that I started to get intermittent ABS failure lights on our '94]).
I think there is just something very sensitive about old wiring and connectors and keeping vital electronics powered up. Here'* three maybe four old Bonnevilles right here in these various threads all dying identically, and then able to start after a rest on the side of the road. It'* not a fun thing of course to have your brakes and steering turn to sludge along with no power while you're negotiating freeway traffic -- it'* scary
(yeah, I sure heard it about from my wife when she got back :( .)
(BTW -- I have a crackpot theory that when your car first starts, your voltage is running high. As you drive, your battery charges up, and the alternator output then drops a liittle (you can watch this happen). Maybe down past the point where critical but comprimised wiring can no longer supply adequate voltage to some vital engine control or function. And then your car dies. Pretty far out, but you have to keep thinking about various possibilities)