I've been absolutely thrilled with my GY Duratracs. They're a 33" tire (285/75 16") and IMO are the perfect size for my overlanding needs. I just bought a set for my wife's XJ project.
Duratracs will probably be my next set but I got too good of a deal on the MTRs to pass up. I like your JKU by the way. It's got a nice middle of the road feel. Most of the JK's I see these days are bone stock or running D60's with 37's.
I was running the Hankook M/Ts on my LJR, LT295/75R-16. These are 33.6" with a tread width of 9". I just ordered parts to do the build on my JKUR and will be running the Hankooks, again. They also have the ATm, all terrain, if you don't need the M/T. I'm a Hankook dealer and they have engineering/design facility in Akron, their tires are designed for the US.
Here's my LJR with the Hankooks: