Tire size for a 4" lift

Hi
I have a 4" BDS lift on my 2009 Tahoe and will be shopping for tires soon.

I have Michelin Defender LTX M/S 2 in 285/70R/17 on 17x9 wheels. According to the spec on these tires they are supposed to have a height or diameter of 32.8" But using a level and a ruler, I measured 31.5". I really don't believe I have lost that much rubber over time (got them in 2019) and maybe put 20-30 k miles on them so thinking they were manufactured smaller than spec - tread depth is still good and has not reached the indicator yet. I can fit into my garage (barely, have an 1.5" to spare). But know if I go taller, I may have to sacrifice getting it in the garage

Anyway, I want to go with a taller tire and want to know how big I can go. I don't want to go wider.

With all of you who have a similar lift, what tire and tire size are you running?
Are you able to park in your garage? If so, what is your garage opening height?

Anyway, hope you all can give me some ideas to consider.

I just did 275/6/20 on factory wheels. I went with the Cooper Strongarm. Amazing ride

I think @Tozan runs 34 inch tires on his 4 inch lift and it looks good