Silver shaker Z71

I am currently battling the same vibrations found in every other 2014 Silverado, I have replaced shocks, changed pinion angles, replaced Ujoints, and drivelines professionally balanced, five different sets of tires since April, we have manually balanced the rims themselves, Bilstien 5100 shocks, re-torqued and re seated body mounts, and even weighted the exhaust in various locations with little to no help. I have made one observation that the 2016's seem to have a slightly different body mount bracket, don't know if that was something GM is doing to combat this or not but makes me wonder. Has anybody actually attempted to use a different body mount or just simply replace the ones that are there? I have thought a few times about removing one to dissect it to find out exactly what makes it work or not work in this case, I have theorized that perhaps the mounting bracket on the frame is not in alignment with the cab in some cases but haven't done anything to back it up yet. My case is a little different because I need to run E rated 10 ply tires due to puncture concerns, my truck seems to be pretty darn smooth for the most part when I put the factory five ply tires on it but they simply won't do for what I use the truck for. I can't believe that a GM engineer hasn't leaked some type of fix no matter how drastic to the public so we can simply go fix these things ourselves or at least make them better, I really like this truck and would be willing to do some pretty major modifications for a good solid fix if I knew of one