For what you described and I saw in that video, the AT3W In P would be perfect. They have a 2ply sidewall but it’s folded over on itself so the majority of he sidewall is fairly thick. I did the totally scientific finger pinch before they were mounted and compared to some other popular ATs and found they were thicker than most. The only 2-ply thin areas were between the arrow shaped shoulder lugs.

I’ve done a few trails much more rigorous than that video with my P-rated 265/70/17 AT3Ws and aired down to 21 psi and they performed outstanding. I won’t go much lower than that unless the terrain is totally sand.

Just my .02. They make a 265 and 285 in P, as well as a 275 in C (newer release but it’s about as heavy as the 285).