One more update/change to this one. The saddle adjustment screws on the Fender Standard bridge were simply too tall and dug in to my hand. I filed them back some to smooth the tops but it wasn't enough so I swapped them out for 8mm M3 on the A, B, and both E strings. The D and G strings are 10mm M3 stock but I swapped them out anyway for stainless 10mm M3 from the same place. I got some 6mm M3 with the intent to use those for both E strings but with the action set the way it is, and it's not really high, they were too short. I got all 3 sizes in bags of 12 so no worries. It feels much better resting my hand on the bridge now.
I ordered them from Overdrive Custom Guitar Works in case anyone needs any for this bridge and other import Fender bridges.
https://www.stratcat.biz/m3-saddleheight.shtml
This is a common problem, especially for people with 'pronated' arm position, like me. Chews up my hand.