Hi Sunfire. I'll assume for now you have proper oil lubrication and proper filtration. Do you also have bearing temperature? If so what is it?
Is this a new design? Or has this been running for a long time at these speeds and the noise has increased over time? If the latter, you obviously need to replace the bearings.
If the former, verify the bearings are rated for the rotational speed and loads you're operating at first. Your actual load should be no more than about 1/5 of the dynamic load rating, preferably less.
Next, check the ovality of the location where your bearing is pressed into the housing and on the shaft. Variations of more than about 0.0001" to 0.0002" could be the problem (your bearing manufacturer can give you a specific number). This could happen if stresses in the material build up during machining.
It could also be vibration induced by the rotating shaft. See if you can find someone familiar with rotordynamics and perform an analysis on the system.
Also, and especially if this is a new design, talk to the bearing manufacturer and review the design and problem you're seeing. Without looking at the entire set up, it's impossible to pinpoint the exact problem. There are a lot of diffferent things it could be including some not associated with the bearing.