Hi
We first need to know
- the vehicle & suspension/ lift (to consider sizes that might / not fit or require additions like spacers),
- your vehicles engine / power,
- your location (as not all brands are available or recommendable everywhere, also considering local legal requirements) and
- your primary way of using the vehicle with the tires (road use overlanding, rock crawling mud, sand, heavy towing, heavy loads e.g. campervan ...)
Example:
I have the same rim size on my BJ73 with a low powered 3B (90ish hp) with a 50mm OME lift. I'm in Germany, so, to be legal, I need to stick to tire sizes registered with my vehicke and I need the '3 peaks' legal classification logo for winter tires in the EU on my tires.
I'm mainly doing onroad travels, with occasional greenlaneing (dirt roads) and sometimes offroading.
So I went with an All Terrain (AT) tire 31×10.5×15, load Index 109S. Bigger tires would rub the wheel well on my BJ73 and also not work well eith my low power.. I have 6mm spacers in the front to clear my tierods at -10 offset. As a brand I choose BFG KO2 (this is where preferences and debates may start

). One of few tires that have the 3 peaks winter classification though.
I'm quite pleased with the BFGs. Never let me down, even when doing more serious offroading, they just need something to bite into. They are a bit slippery on hard wet ground, though. Not a big deal for me as I (or my rig) is going rather slow anyways.
Maybe this helps.
Good Luck Ralf