I'm interested in putting 35's on the ol' silverado, advice wanted

[FriendlyMan]

2000 Silverado 1500 LS RWD w/ manual transmission 4.8L V8 275k on ODO
 

Recently did a 5" front 3" rear lift/leveling kit (also has rear air suspension). I find that I really dig this and now I'm entertaining a 3" body lift kit and putting bigger tires on my truck. I've been kinda unsuccessful in understanding what what route to go (Google seems to have way more info with newer trucks). I'm aiming towards 35s, even if I have to trim despite 8" of lift.

I understand I will lose some performance if I do this, but what might be lost may be made up for with an increase in smiles per mile.
 

I have Goodyear Wrangler DuraTrac's - 255/70R16 111S (about 30s) on it now. Are there any popular all terrain 35s that will fit on the stock 16" wheels? Will I have to do any offset calculations?
 

Thank you all.

[FriendlyMan]

After the 3" body lift, would it be as simple as ordering 315/75r16 all-terrains and having them put on the wheels?

[Mike GMC]

You may need new wheels with deeper dish, moving the tires out a bit.  Turn your existing wheels/tire combo to full lock on both sides and measure the remaining clearance to things front and back of the tires to see if the larger tires will fit.

[Ian Mills]

In my opinion/experience a wheel with less positive offset or more negative offset will also make your tires appear a little bigger. You do need to watch out for clearance to the corners of the fenders.