Would recommend this site:
https://tiresize.com/calculator/
https://tiresize.com/comparison/ allows you to compare two different sizes side by side, and the results show commonly available tires and their MSRPs. It also shows recommended wheel width ranges for tires.
If I were in your shoes, I'd look at a 255/80R-17 on a stock 7" wheel. It will get you about 33.8" diameter and weighs under 60# per tire in most cases. A Falken Wildpeak AT3W shows 52.5# for an E-load range. You might be able to find even lighter tires if you go with a C or D load range in that size. There is a 34x10.5R-17 available, but there are only a couple/few tires made in that size. I'd only want to buy something I could replace fairly easily.
Odds are that the 255 and maybe the 10.5 tire would fit without even having to level the truck. Narrower tires have more clearance to fenders vs similar diameter, but wider tires. Apply clearance measurements, arcs, and other math-y stuff here to see how extra width magnifies likelihood of fender interference. If you want to lift for looks, then skip what I said above (and, I guess, below.)
Since you don't want to re-gear due to expense, picking a combo that's lightweight and less than your desired 35" diameter is going to hurt mileage and performance the least, especially if you figure out you have 3.21 gears. Don't know how much you drive, but if you put 35's on it and end up with 35% decrease in MPG like Cmz2800 above, might be worth doing a little calculating to see how many miles it takes to break even on cost of gears vs gas.
Large diameter looks vs budget/performance combo...