I'm running Cooper AT3s in 265/75-16 on my 2002 Limited with the
same wheels. I have 2-3" lift, with no problems.
They came from the factory with 265 width tires!!! (the /75 is the height multiplier - they are about 1" taller than stock tires)
BTW, Overland Journal Summer 2014 has an AT tire test - 7 tires. The lead evaluator was a professional test driver who worked for Toyota for a decade on model development, primarily testing tires for 4WD vehicles (Joe Bacal). (In other words, it was as close to a scientific test as you're likely to find in a magazine.) They tested handling limits, braking distance, skip pad (G force), dry slalom, wet cornering, highway ride, dirt oval, ruts, and rock climb (38 degree granite slab).
Tires tested: BFG All-Terrain T/A KO, Dick Cepek Fun Country, Falken Wild Peak A/T, General Grabber AT2, Goodyear Wrangler All-Terrain Adventure Kevlar, Toyo Open Country A/T II, and Cooper Discoverer AT3. Test vehicles were 2 Jeep Wrangler 4-door JKs with factory lockers.
On one test - a 1 1/2 mile dirt oval, they did 'managed controlled 4 wheel drifts' at 75 MPH with the Cooper AT3 (that was 15% faster than the next closest). On the 90 degree wet corner test the AT3 did it at 55 MPH (and quit pushing it because of safety concerns). The next closest was the Goodyear at 46 MPH. The BFG did it at 32 MPH! The Cooper, Falken, and Toyo were the only tires to complete the rock climb.
Of the BFG they said 'technology has advanced well beyond its current design. As a result, these classic standbys are fading into the past.' (they were also the most expensive tire they tested - $45 each more than the Coopers).
Their conclusion: 'The Cooper AT3 was the overwhelming winner and a genuine value.' They gave it the editor's choice and value award (2 awards, almost never given to the same product). Scott Brady (the publisher) says they are the best AT tire he has ever run in snow. Another 4WD magazine reviewed them last fall and said they surprised them with how well they did in mud. Here's another review:
Cooper Discoverer A/T3 | Expedition Portal
Mine have 42k+ miles on them, have almost 1/4" of tread left, with probably 400 miles of forest service road travel with no flats (and lots of sharp limestone around here). I plan to buy another set this fall when these are finally worn out. (If you can't tell, I'm sold on them. And I got mine [C-load rating] for $700 out the door - mounted, taxes and all - that is a bargain. I could have gotten the 'SUV' rated ones for just over $600.)
