Had the same issue, eventually found a separated tire... no kidding, after the road force balance I drove it for another 500 miles. At first it was better but it got way worse. I was lucky to not have it come apart!
New tires may need a break in period before the vibration goes away. Also, did they road force balance the new tires before installation?
I recently purchased a 2016 RAM 1500 Bighorn Ecodiesel 4x4 crewcab and after the first 1,000 miles I noticed a vibration at 60 mph +. I have since taken the truck to 3 different dealership service departments. Two shops took it for a test drive and gave it back to me saying that is drives like a truck. One of the shops did balance/rotate the tires (road force balance, etc.) but this did not improve the ride. Third dealership replaced the front shafts and again ... vibration is still noticable. Very annoying after spending this much money for this truck. The truck is stock with Goodyear SRA's.
How many miles have you gotten out of them? I almost bought them but was steered away by the sales man. I use to run Michelin "X" on my 89 they would last about 80k miles I'm lucky my truck allows for light and heavy load settings on the tire pressure. I run 60 on all 4 unless i'm towing long distance then I'll pump up the rear to 70-75 psiI had issues with the Firestone Transforce on certain roads. These tires are the worst I've ever had on a truck. I got 29K and I drive like the papa I am. I put Michelin Defender XLT's from SAM's, regular spin balance and the difference was night and day. Now my truck is so smooth, I'm at 80 mph sometimes and don't realize it. These are not on off the road tires, regular highway tires. I highly recommend the Michelin. Actually less expensive than the all terrain. Also, I run 65/80 psi.