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- none - BREAKER BREAKER HAND HELD CB AND WALKIE TALKIE
Amanda, FYI the serial number on your truck indicates what the factory gear ratio is for your truck. Also there is a metal tag attached to one of the bolts on the center carrier section of the differential that identifies the gear ratio of your truck. KNOW YOUR GEAR RATIO BEFORE YOU ENLARGE YOUR TIRES !Always glad to see another GMT800 rig on here.
So if your truck has the holy grail of options with the 5.3L V8, Z71 package (which i see it does), and the towing package, it should have 4.10 gears from the factory. This means that the engine will still work in it's powerband all the way up to 35" tires. Granted you would need a 6" suspension lift or a 2" suspension + 3" body lift to fit those.
If it doesn't actually have the 4.10s it will have 3.73s which is fine for the 285/75/r16
In order to fit the 285/75/r16 tires, which is roughly 33", all you need is some leveling torsion keys which can be found for about $40-60
You could also get some small rear lift blocks so the truck isn't squatting with a trailer attached.
For the around town shifting that others have talked about, if you are worried about being in too high of a gear you could just hit the tow/haul button on the end of the shift stalk
Also towing can eat up the 4L60e transmissions sadly. I would recommend getting an upgrade transmission cooler and you should have no worries.
Hope all this helps
What @UltamaSanctus says about your gear ratio is true if you have his ASSUMED gear ratio. Only if your ratio is 3:80 or above would I not change gears for the taller tires. Anything less is marginal at best.
Transmission coolers are a whole other story and any good mechanic should be able to determine your trans cooler needs depending on your load and speed that you drive. Obviously slow (as in slow trail speeds and steep terrain) speeds cause more heating.
Most factory coolers are adequate, there is such a thing as a trans thermometer gauge you can install so you can know when the tran temp is to high. There is a gauge for everything if you are worried about something in particular.