Aoshima makes two versions of the Andrew Racing Dish. VIP Part No. 9, the one you probably have, has a thin lip (as seen below).
They also make a wide wheel version, VIP Part No. 36. The overall wheel on this version is wider, but I can't say with certainty that the dish is deeper. I've only see box pics of this version. These wheels also come with some kits in Aoshima's VIP Wide Fender series. All are very hard to find.
The easier route would be to get a lip off another Aoshima wheel, or do one of the deep-dish wheel methods in the How-To's.
