When you clutched the RPM's came down enough to introduce enough resistance on the alt to start the belt spinning. It didnt squeal at higher RPM's because the alt was not workin near as hard to supply the power.I had this same issue with a lot of load and a loose belt. Would squeal as soon as the revs came down, and then I could turn it all off and it would stop squealing. Get back up to speed, turn the accessories back on.. lol What a pain. You clearly have major issues still.. I am assuming this was mid day and there was no accessories on.. the battery should run the injection pump alone for hours and hours.
I bought a brand new GP relay and put it in today so im kind of going on faith at this point. I have phyically inspected my belt and it doesnt show signs of ware, it feels firm and tight, there is no dry rotting, no missing teeth, etc. Ill give your unplugging suggestion a shot. But doesnt it make sense that the alternator just didnt have enough time to charge the battery in the 3 miles i drove?
...BTW your Bieber avatar is awesome.-Malone