I've never used a belt to strop anything. However, I tend to like to wear belts like the one your described. I had one made by Coach, but after a few years, the thread that held in the buckle failed, most likley due to longterm exposure to pressue from my waist line. Coach seems to no longer sell a belt like it.
I replaced it with one of these, which I like:
http://www.llbean.com/webapp/wcs/stores/...;feat=502865-tn