Replacing the axle as an assembly is going to be the cheapest/easiest option.
For 1k, you can buy enough used axles to drive it until we run out of gas
this is true.
8.25s I've bought (this is in the northeast where jeeps rot out before the drivetrain/axles die, YMMV):
29spline, 3.55s, brand new brakes, no cover, set up with MJ perches already - 50 bucks
29spline, rusted gears, for spare parts - free, I just had to pick it up
27spline, 3.07s, 100% working, just needed shafts - free, I was told I had to take the whole thing if I wanted the shafts
29spline, 3.55s, complete, bolt-in - 100 bucks @ the you-pull yard
... and there is one sitting in the yard that I frankly don't remember where it even came from, nevermind how much I paid. Has to have been under 100, I laugh if someone asks more...
Even if you "only" get 50k miles out of each, you can pick up a half million miles worth of used axles and just bolt em in one at a time before the stealership price is a good idea.
I'd probably only buy one and redo the bearings in it, or the one in the jeep now, depending on which is better though. 8.25s have side bearing adjusters instead of shims, so what'll need really amounts to:
* inner bearing & cone
* outer bearing & cone
* maybe pinion depth shims, but your current shim stack is probably fine if you can get it out without damaging them
* a new pinion preload crush sleeve
* a new pinion nut
* a new pinion seal
You'll need to adjust the backlash using the side adjusters till you get a good match for the existing pattern or the gears may be louder than before. So if you are going to lift it and/or put bigger tires on it, now is the time to buy a new gearset in the ratio you want, because you're basically doing almost all the work involved in setting gears up, might as well. If the carrier bearings are the only bad ones, not the pinion bearings, you can get away with just slapping new ones in and duplicating the existing gear pattern, which is easier than doing a full gear setup.