Jim's post reminded me (BTW, his truck is gorgeous and a lot of fun to convoy with!)
Yet *another* thing to consider ... A lot of guys have had their tires made perfectly round on a tire lathe. I thought that was crazy until my friend with a Powerwagon did it to his *very* expensive Michelins. The difference was truly amazing. And you (like I was) might be completely gobsmacked at just how out of round most tires are these days.
If you find that balancing still doesn't smooth things out, consider a tire lathe. Next trick is finding someone who has one ...