Usually a 2 wheel alignment is about 50 bucks but if you lift it, it will cost more due to them having to put different camber cams in. And it will take them forever to get it done!

Hes right about the big tires not balancing well, I just put my winter tires on my truck BFG mud terrain 32x11.50x15's and balanced them on my step dads spin balancer and the outcome was not good. Couple of tires needed 7 ounces on one side! It would probably help if you did get them half assed balanced but dont expect anything great.

The other guys right too, steering stabilizer will do wonders with the wandering. Might not hurt to tighten your steering box up a bit either. Its probably got some slop in it.

 

Some tire shops use weight patches bonded to the inside of the tire. These are shops that usually work with large off road type tires. The weight patch is more efficient than wheel weights because they are closer to the outside of the tread.
The loose wheel bearing might cause some of the loose lugnut feeling but only if they are extremely loose or worn out. Does this occur all the time or just when the tires are cold, cold bias plies tend to have a flat spot until they warm up. Bias ply tires will wander because of the stiffer sidewall and flexible tread layer. Steering stabilizer will keep some of the shock off of the steering wheel but will not help much with tire wander.

 

could also have a belt broke in your tire