I looked up some Dickerts in RCA. Numbers 48, 49, and 50. The cheek pieces on those converge only slightly. Meaning they are slightly closer to the bottom of the stock at the front than at the rear. Yours converges a little more steeply, compared to those guns. Also, there is a flattish area at the bottom edge of the cheekpiece. Kind of hard to describe, but the cheek piece is concave and then swoops out to this flat area that often has some sort of longitudinal contouring done to it. It is a real simple way to add a decorative touch. Even just a couple of grooves cut can look real nice. Dickert's cheek pieces also stick out less than the one on your gun. I'm guessing they are maybe 3/8 of an inch proud, plus or minus.
As far as cleaning up around the carving, I use scrapers to do the "field" that isn't close to the carving, but I use the cardboard nail files once I get close to the carving to avoid dinging it up. There are some really good carvers on this site and I'm always amazed at how their carving just grows out of the wood with no obvious transition.