Tallest tire for 16" that isn't AT

I'm sure this has been asked so many times before but I'd like a tire that won't sacrifice height that isn't like my grabers, I know 305s are an option but is there a thinner width tire so I won't be rubbing with my stock rims?

You should be fine with 265/75-16. It is the 285/75-16, you may have some rubbing.

Ran BFG AT 2657516 for years with no issues. Put on leveling keys and got 2857516 and it rubs when making hard turns and in reverse.