I have a 2020 Suburban LT 4wd lifted with 35x12.5/r20 tires.

RPO codes say the stock ratio is at 3:08 with stock tires of 265/65/r18 and I'm upgrading the gears and ratio... I'm thinking of upgrading to 4:56 nitro gears, but is this overkill? My math shows it's a little high, but i've read 35s w/ 4:56 is an awesome and fun combo.

There's only mild towing, but lots of mountain driving with the burb currently, but don't care about MPG. Only mod currently done that would be related / help is the "pill flip" but with new thermostat internals in the bypass and not just "flipped".

Also, I have a stock limited slip diff, can that be reused with the new ring / pinion or is it gear specific?

Any help is greatly appreciated!