All that you mentioned are great tires,,,the BFG ATs, MTs, and the GY MT/Rs. Can't go wrong with any of 'em on CO terrain. Hell, I run ATs thru some of the toughest trails in the state.
That being said, seems that out west the MT/R is recognized as the superior radial for rocks. The majority of the Solihull guys run MT/Rs. I haven't seen one puncture yet despite plenty of abuse. Most will agree that the MT/R is weak in mud & slides on wet rocks...but how often do we see wet rocks, let alone mud?
If you're keeping the ATs as your road tires and buying a 2nd set for off-road, I would go with the MT/Rs. But that's just my .02 ,, I'm sure you wouldn't have any complaints with the BFG MTs either.
As far as other tires, I do know that Larry (big RRC Larry) punctured numerous TrXus sidewalls before finally trading them in for MT/Rs. While they seem a great all-around tire & clearly many people run them on wheeling rigs, they may not be your #1 choice radial for rock crawling (but would doubtless perform better in mud and snow). Tires are always a trade-off,,,and it's easy to 2nd guess your decision because everyone has a different opinion. Bottom line is,,,get the one you want and never look back. The differences (as far as the major brands of off-road radials) are probably far more minute than most would have you believe.
If you are buying a 2nd set for wheeling only you may want to consider some bias-plies,,,I know you've run these before & didn't like their on-road handling,,but for an off-road only tire, who cares? Granted you'll be driving to the trail,,,but you'll get some mad performances out of a set of TSLs or LTBs. The 33" LTB is super cheap too,,,, like under $120 ,,,