For my Snuffers, I use a Tormek grinding wheel similar to yours, joebuck, but it's a wet grinder and the wheel is wider, and has a leather wheel on the other side. You can lay the Snuffer on the wheel in just about any position, but I prefer having the shaft in line with the wheel so that it's grinding almost lengthwise down the head. Moving the head back and forth gets all of the cutting surfaces done, and no problem with the angle. It automatically does a 30 degree, which I like. I rotate the head as I go, using gradually less and less pressure, which takes care of most of the burr. The leather gets the rest and puts the final edge on.
My face is not an option- it hasn't felt a blade of any kind in several decades. Scraping the hair off your face is a perversion!!