Stick with 235/80R17 in LRE, you already have more tire than AWR both front and rear.
Nitto makes some nice tread patterns as does Bridgestone, Michelign, and Toyo.
As far as the centramatic I would highly consider them or balance beads over traitional balancing anyday.
I intalled centramatics on my 05 SRW Dodge two winters ago for a short time frame. They smotthed the already smooth ride and also also made the KM2 (mud tires) noticably quieter
I had to take them off after a couple hundred miles because I got my 19.5's insalled, main reason I bought the Centramatics, and Les Schwab wouldnt install them as they consider the 0.060 steel a spacer...grrrr!!! Anyhow I sold them, still have a set on the TT, and have counteract balance beads in the 19.5's. The balance beads are VERY smooth on a LRG tire all the way up thru its speed rating of 75.
Balance beads only work on some tires thou. Look at the construction of the inside of the tire. If it is mostly smooth and "BB's" could roll freey then they would work and I would go that route. If the tire has high ridges then go centramatic.
Each tire is different. Beads work well on my dads 285/75R17 Nitto Durra Grapplers but not on my buddies 285/70R17 Nitto Durra Grapplers as the ridges are slightly different.
Bottom line is dynamic balancing will be better than static balancing, espeically if your air pressure, load, and speed change often.