I didn’t resolve the issue with RNR tires but I did a runout on all four rims from WheelSmith and they were all within their specs so I’m sure it was not the issue. Thinking back, a couple of years ago, I had the same tires balanced on the old rims (8x15”) by a local garage and they also had an issue balancing one of the tires, but were able to get it done, so the issue is with the tire and RNR.
The rims from WheelSmith fit perfect with plenty of clearance for the caliper. They are 15” x 6” with 3-1/4” backspace which I believe is their standard backspace for that size.
I bought their Artillery rims but their smoothies (similar to OEM) use the same outer rim so the fit will be the same. They also sell the center cap and beauty rings to fit and they are really nice.
You said the issue you think is with the tire. Do you mean the brand or the size? Just wanting to make sure so I can bypass the same problem. I plan on contacting wheel smith to get the same wheels that you bought. They are sharp!