Here is a part of Dec 1864 map that I found, showing where Bellefonte was. It doesn't indicate a race track, but it does mark the area called Bellefonte.
This was found on the Virginia Historical Society's web site.
This link will take you to the results page where I found two maps (there may be more) from that time period:http://vhs3.vahistorical.org/starweb/vhs/servlet.starweb?__s...
It's a little difficult to navigate the maps with their viewer, but you can zoom in or out and move around on it.