Ran out to check the socket I have used on quite a few wheel bearing replacements in the past... Verdict is --->>> 36MM.
2000 Bravada was 36mm. Fit fine with a little slop, not snug. Fit fine on a 96 Blazer (cousin's), 98 S10 (uncle's), 2002 Blazer (friend), as well as a 99 K1500 (friends) when I replaced the wheel bearings on their vehicles. And I know there are a few that I am forgetting.
Regarding past posts, it is possible that I was shooting from the hip without actually checking and used terms like "approximately" or "something like" (I do type out a ridiculous amount of posts helping people).
In the end, if a 35mm socket worked for you, good deal. Just saying that it is not the proper socket for the application and may not work for everyone.
Just so others can see what I would consider to be acceptable socket slop, I shot this quick video on another GM product having a 36mm axle nut:
Don't mind my big dumb dog panting away in the background...
Measured the nut with my Mitutoyo digital vernier calipers and it measured 35.36mm. Inside of 36mm socket measured 36.53mm. I do not have my machinery's handbook handy, but I would bet that this is the acceptable tolerance for both nut and socket flat to flat.