Al, I, like many others on here, refer to 1/8 & 1/10 mile tracks as "bullring" tracks. We race indoor tracks bigger than this quite often. I don't have the statistics, but I am thinking that most kart tracks are 1/6 mile and larger. 1/5 mile is probably the norm, with 1/4 mile being on the big side.
Now, with limited property and participation numbers, there are likely a whole lot of "backyard" tracks that are in the 1/8 and 1/10 mile sizes.
As for proper gear ratio, I am sure you are aware that this depends on several variables; track configuration (length of straight vs radius of turns,) engine output, tire size, amount of rpm loss/drop in the corners, amount of grip the track offers, and more. As a starting point, without a whole lot more info, I'd suggest being in the 12-65 range with his plate clone on a tight cornered 1/8 mile track.