Just curious how you determined it's a belt issue?
Well lets see ...a new set of LT's are probably going to run, let's say, ~ $240ea ..figuring you get a decent deal. They could be higher at $275ea if you go with a higher priced and better LT too. Plus $80 for balance and disposal. But going with the $240/set, it comes out to $1040.00 for a set of tires (not incl press sensors or tax).
So...when you say half ...is it really half? Or more like 40% or 55%? If it's 40% and you live in a snowy area, probably better to just replace them. OR ....if they're on the high-side of half, if it were my truck, what I might be inclined to do is take the vehicle in and get the tires Road Force balanced on a Hunter Road Force balancing machine. That'll tell you exactly which tire/s have uneveness, and how bad. It'll give you a score too ..a number you can go off of. Then you can make educated decisions.
If it's just one tire, I would probably look for a used same-tire off Facebook ...probably buy a tire for $75 if it's half tread. You see tires come up all the time. Then for $100 (figuring balancing) you could get another couple years out of them. Or, you could buy a brand new same Cooper tire matching what you have, put it on the rear star wheel (usually the rear Rt axle) where it'll wear faster to match the other tire tread height sooner. Unless your truck has a limited slip, in which case I probably wouldn't do that). But if it's an open rear diff, put it on the rear right and don't rotate it for a couple rotations ...and it'll wear down faster back there till it matches the other 3. Or pretty close to it. And you'll still get the few extra years of wear for $100. So if you're the thrifty type, that's one course of action.
If you have two tires which have belt or wear issues, then I'd be looking at a new set of tires ...and also what, if anything caused the issues: worn shocks, bad ball and steering joints or too much pressure. People tend to want to blame the tires, but often it's a symptom of other things. Sometimes a shock may not be leaking and can work ok throughout it's full travel, but be 'loose' in the center portion of its travel ...and cause wheel hop, which can make tires wear unevenly and even get bouncy. They say, once a tire has created a certain wear pattern (like a bounce) you can't really correct it (I'm going from what I read in magazines).
I just put new LT meats on my Hummer and discovered in the inspection process, one of my front shocks, the main rod had broken below the shield (wasn't visible). I had planned to replace the shocks anyway, I knew I had one leaking. But that's kind of thing to look for
Just ideas to ponder...