While I don't have any newer dodge experience, 99% of death wobble issues are the track bar being worn out, and toe-in will make it more apparent. A lot of places that lift the vehicle will reduce the caster to get the correct pinion angle, this is especially true on 4+" lifts and then the thing handles like dog crap and won't hold a line.
I live on a rough road, on my first gen dodge with 275/75/20" tires I run about 50psi max up front and if I"m not loaded I'll go down as far as 25-30 psi on the back.
When that truck had sagged out leaf springs I added a couple leafs to the front and at the same time added a 4* caster wedge.. it went from being white knuckle driving on the highway to dead steady.
On the 2nd gen with the coil springs I put a 1/2* camber bushing in it because I was wearing the outside of my tires a lot (I take a lot of corners and don't do it slowly either) and my tire wear has gotten much more even, whenever I get the death wobble in that truck I just swap out the track bar and it goes away, pretty much any other fix is a bandaid, shocks, steering damper, etc only mask the problem a little.. None of my trucks have steering dampers and they all drive nice when things are tight. I also set the toe to zero or just a HAIR in on all my trucks, it might be a little less responsive on turn-in to a corner but it's more stable and good for tire wear
I run chinese tires on them, the first gen had Suretrac MT's and they wore really well, probably have 30k miles on them and on my roads that's real good, and they were half the price of Nitto or whatever other brand name. the 2wd has Antares and I don't notice any wear on them with about 5k miles. MT's aren't great highway tires but if you deal with the spring mud we have, they're nice to have. I run an A/T usually
Another thing about tire pressure is that when you go to a bigger tire, if you aren't dropping tire pressure you're losing contact patch with the road. My buddy just put Duratrac's on his truck and he was also told that for the first 100 miles be real careful because the back end will get away from you
I speed the process up with a smoky burnout and call it good