I've run the Cooper A/T3's before and thought they were a good tire, but like you I then went to something a bit more aggressive with better grip: Goodyear Duratracs. I have the 245/75/R16 Duratracs in load range C (nicer ride than the stiffer E's with our Jeeps, because E's are designed for heavier trucks). These tires are amazing in just about every situation. They are snowflake-rated so legal to drive during snow emergencies just like snow tires, but they also have incredible off road traction and good road manners. State agencies such as the DNR run them around here too, which speaks volumes. The only complaint I've ever heard is that sidewalls are not as thick as some others, but that hasn't been an issue for me. I have 72,000 miles on mine so far and they still have almost 50% tread left. Best tire I have ever run.
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2008 Liberty Sport 4x4 Automatic
Jeepin By Al 4" Lift Kit
BFG KO2’s 245/75R16
Full MOPAR skid plates
Rock Lizard Skink Super Sliders
AtTheHelm Front Recovery System & Roof RackM116A3 Trailer build thread: viewtopic.php?f=72&t=77997