I'm not trying to rain on your parade, I promise. It could be that softer, more forgiving tires could help (in fact, I don't see how they wouldn't help), but a buddy of mine has a '19 with the 22's. About a month after buying the truck, he popped both front tires (he was having construction done at his house and he ran over some nails). The punctures were too close to the sidewall to repair, so he just bought a whole new set of tires and went with the Michelin Defenders, which I think are some of the quietest, smoothest truck tires on the market. While they did feel better, it still wasn't close to how mine rode.
For reference, though, I'm like the male version of that princess that could feel a pea under 100 mattresses. It's a blessing and a curse, but mostly a curse.