As was posted earlier, a road force balance is the best you can do. It will tell you if you have a tire or rim issue as well.
BUT, I have yet to see a shop do it properly that doesn't charge a couple of hundred dollars. Just because they run it on a road force doesn't mean they do it properly. Having the force wheel press against the tire is most of whats needed because it duplicates what goes on while you drive. The problem people don't realize is, you cannot let the car sit in the parking lot for more than a few minutes. Warm tires will form slight flatspots as they cool. The tires need to be driven then quickly removed and balanced. If you don't do this the machine will not properly balance. The force wheel picks up the flat spot and tries to compensate it.
I have a real nice Hunter road force at work that is used to train people how to do this. Just spinning the tire against the force wheel gives you a ton of data. The data is useless if you don't know how to access it. Just using the force wheel is only half the balance though. This is why its so expensive. Just doing half the job though, is better than spinning the tire in the air. As a demo, I have balanced a bent rim on a regular balancer. The numbers come out perfect but the vehicle would shake horribly when driven.
When I road forced the 5 Coopers on my Cruiser, one of the tires shook when the force wheel pressed against it. Looking at the data, the tire was constructed wrong. Cooper wouldn't help me and its now my spare. The other four tires took over two hours of removing and turning on the rim to properly balance. The machine tells you where to turn them to, then you re-balance and repeat as necessary.
Most shops don't want the tech spending hours balancing one set of tires. I know this to be true with the Americas Tires all around me. I have had several of my students work there and they tell me this once they see how to properly balance on one.
You said you have fuel rim's, These are very good rims, I doubt the issue is there unless you bent them. I have had issues balancing nittos in the past though.