I have some suggestions for you since its a GM and I had a very similar problem with my Trans Am.
Re-tighten all Ground leads, including searching for a ribbon cable on the back firewall leading to the back of the engine ( just loose/tight the one on the body ! ), There is a small one leading away from the battery cable to battery connection and to the body, and of course the main connection from battery to Engine Block. There's also a couple small ones for the headlight harness along the front edge of the engine bay too - might as well check them too while the 10mm socket is loaded !
So, all of your grounds are okay, next you'll want to confirm that the link is the problem, take your jumper cables and run one color from the positive on the battery to the alternator post. You should start seeing charge on the gauge. Assuming it has a gauge. This will confirm a bad link somewhere.
Next, be sure to check BOTH sides of the wire around every fusible link !!!*** I've had to cut/splice MANY fusible links onto harnesses over the years when using them for swaps...Bad fusible links are almost as common as getting a parts car with the radio plugs cut out of it !
You'll know when you find one. I pulled the positive leads off of the battery's distributing terminal and had the alternator cable fusible link fall apart in my hands!
As for a replacement, its sold for next to nothing in spools.
Autozone has it, as does Napa.
They are in the fuse/bulb section on the sales floor.
Just get a link the same gauge as the one you are replacing.
***Just to be sure I'm helping you enough- from your post, its not 100% clear if you know what you're looking for (I wasn't the first time!) You're looking for what is basically a wire that has a metal that corrodes/burns up when to much. It looks just like any other wire but gets a weird, gummy, stretchy texture to it when it fails when to much power surges through it causing a short. It won't be visible when it fails because the wire breaks in the insulation, so feel around and when you find it, cut it out from the actual harness and splice in a new length.
On GM cars it is found at the battery terminal ends of the power cables and by the starter.
