From my experience, all radical equipment take to surface adjustments very well. As you stated, it is probably burning up prior to the pins.
I would use the step up method: 1000,2000,3000 and see if you need a 4000 after that.
If that does not give you the desired result, I like 1000, then a light coat of polish. This gives a little bite under the polish, but my lack of hand requires that. You may see different results and need to adjust accordingly.