This is a good question, but also a challenging one. People will probably give you a recommendation based on what works for them and their needs, but that might include variables that are not relevant to you.
For us, we ran Cooper Discovery AT3s. This decision was made for two reasons: They were more reasonably priced than the competition, and they came recommended as the Value AND Editor's Choice from Expedition Portal, which is a pretty solid recommendation -- I liked how they showed the testing and results in detail, and explained the choice they made instead of just making a choice and saying "Trust us". You can read that article here, but be warned it is older and tire technology is changing:
Where the Rubber Meets the Road
For a more general option, I'd be willing to bet that if you asked 1000 experienced overlanders this question, the
most common answer will be "BFG KO2s". The BFG KO line has more successful off-road/overland miles than most other brands, and for the most part they are very resilient, grip well, and check all the boxes for a good tire. In other words, if you decide you just want to make an easy choice, you cannot go wrong with the KO2s.
And finally -- most modern name-brand tires are pretty good. In the early years of overlanding, I used to get punctures WAY more often than I do now. Perhaps that was over-enthusiastic driving in my youth, but the fact is that tires are a tight market, with the major brands all being very competitive with one another in terms of reliability, grip, etc. So if you go buy a set of Coopers, and then the next week see a glowing review of the latest Duratrec or BFG AT -- don't worry about it. There isn't likely to be a substantive gap between any of the major brands/models to make any 'buyers remorse' worthwhile.
I think for most people it's more important to make sure you are getting the right class of tire for your needs (i.e. an All Terrain vs a Mud Terrain) than it is to ensure you are getting a specific All Terrain from a specific company, so long as you are shopping from one of the bigger manufacturers like Cooper, BFG, Goodyear, Falken, etc. and not picking up the Wal Mart brand (But hey, if that's what is in your budget, there's nothing wrong with the cheaper brands so long as your expectations are managed appropriately and you prepare accordingly -- I'd take an actual adventure on cheap tires over expensive tires that leave no money for gas any day of the week!). An example of this tire class issue is with the Jeeps - Rubicons come with MTs, but in a lot of dry-land Overlanding (gravel travel, deserts, etc.) they are terrible -- they wear very unevenly which introduces uncomfortable shudder in the drivetrain, which creates extra wear on both the driver and components (I've had a set go from balanced to vibrations in a single trip), and they are LOUD. The Cooper AT swap was excellent to address both issues.
