On my 73 Nova, I probably did it in a way no one else does but I ran a dedicated ground from my rear battery negative to a bolt on my transmission. For my other grounds like the headlights instead of having them grounded to the radiator support, I ran a dedicated ground back to the rear of the car to a ground connection block. This block has many spots to where I also ran a dedicated ground from the parking lights to it as well as the radio ground, and so on. I then have a cable from the block to my battery negative post. What I was trying to do years ago was not use the body of the car at all. Why escapes my memory but while the car sits most of the time I have not had any issues except a blown wiper fuse once in the last 20 years.
My 73 is still in nice shape in that no major panels have been replaced and the factory spot welds are all in place and I could have used the body for more of a ground path. Some car's I've seen are really rotted out and having the trunk pan spot welded to the back seat metal and this spot welded to the floor, and then this spot welded to the lower firewall, and so on and so forth, the electrical connection from the rear of the car to the firewall may not be as good as it used to be.
Maybe on yours with a full frame, run a 1/0 ground wire from the battery negative to the frame in back and then up front off of the same frame, run a 1/0 cable to the engine block. From the engine to the firewall you could possibly use the braided ground straps that might have been on the car originally and then run something like that in back to the trunk floor or taillight panel.
All of these new connections "may" help the whine but you might have a battery issue, where wires are run, an alternator issue, or who knows but once you get the battery circuit done, then you can troubleshoot the whine issue.
On the frame connections, clean the spot on both sides and use nuts, bolts, lock washers and such to secure the terminal off of the wire and the coat the connection to slow down any corrosion issues.
Jim
1968 Chevy II Nova Garage Find 2012
1973 Nova Custom
1974 Spirit of America Nova
1973 Nova Pro-Street