I installed a "BESIGN Ground Loop Noise Isolator for Car Audio/Home Stereo System with 3.5mm Audio Cable" that I got from Amazon. In a quick test parked in the driveway there was no whine even with the car radio at its highest volume with the GMRS on.
Here's a big thanks to everyone who responded! I'm very grateful. I've spent months trying research and fix this on my one. WRQC527 nailed it on the first go. I should have started here.