BR10ES, NGK... The lower the number (10,9,8) the HOTTER the plug will run.
What's your plug look like? Wet or dry? Black or tan? If it's black, or wet, you're too cool and need to go hotter. If it's white, dry or pitted, you're too hot and need to go cooler.
50:1 is stock for most all 2-strokes. In my experience, you can run up to 35:1 without causing significant carbon buildup. Safest is 40:1... might smoke a little, but you'll never run lean.
When you run rich on oil, you want to run a hotter plug. If you run 40-45:1 you'll need to go with a BR8ES plug.
How thin is Bel-Ray oil? Is it on the same lines as AmsOil Performance 2-stroke, or Motul? Or is it more on the thick-side like Stihl chainsaw 2-stroke oil?
The viscosity of the oil will determine how it's burned in the combustion chamber. Odds are, if you're running rich, and with a super thick oil.. your plugs aren't keeping up. Simple fix.
Also, is there an oil-injection system? or do you simply pre-mix?
Good luck.