Sounds like a balance problem or even possibly a bent rim, maybe even an uneven load and the trailer was "bucking". Not sure that I would just blame the tire. I always inflate to the sidewall pressure and check my air pressure before any run.
Take your rig to a dealer and have them balance all the tires and check the rims for defects as well as being mounted properly, then go for a road test. If that doesn't solve it then check how your hitched up and loaded.
I put 4 Good Year ST Endurance Tires on last year and they run, true, straight quiet and importantly cool, when I touch them after a run. Very happy with them.