KO2 vs KM3 vs ATZ P3

Another vote to look at the Cooper STT. They seem ideal for what you are looking for if I understand your goals. They just had an article in JP Mag for a year long "long term" write up. It sounds like what you are looking for. Everyone here will have a favorite and often it will be for a common tire. Not saying that is good or bad, and everyone is dealing with a different situation. I had been a Goodrich fan for decades. But after I got an amazing deal on a set of Coopers it completely changed my opinion. For me. Where I am. In my conditions. I've never had good luck with Goodyear, but obviously a lot of people love them. For them. Where they are.
Look around and see what people around you are using. That should give you a good idea of the type of tread pattern should be good for you. Not necessarily the best specific tire, but the type of tire (oops, sorry. TYRE where you are I think.) And type of tread to look for. If noise and street manners are not a priority, and snow is of no concern, and you are not "overlanding" then I would lean towards a full on mud tire. If you are more of the "overlanding" persuasion then I'd suggest more of a "tween" tire such as the Duratrac or STT.
I had looked at the STT, I've heard good things however if im correct they don't make a 33x10.50 is that right?
 
As of last week, 33x10.5x15 KM3's were on national back order. Discount tire claimed to have some - they had 3.

As soon as the local tire shop has a bay open, They will be installing some MT Baja Legends on my LJ. (They were hammered before lunch, and now I am playing on the internet through their lunch hour). They mounted them on the rims last week, but we were waiting on lug nuts.

I have no real clue on availibility of the MT Baja Legends. We found 4 - and almost every source was saying they only had 4. We got the 4, and they disappeared across a bunch of sites - but were back the next morning (so I got the spare ordered as well).