Are you sure your son won't be allergic to Basenjis? Best way to know is to be around them and see whether he reacts. They may be less likely to trigger allergies than some other breeds, but the only way to be sure is to expose your son to one.
Hopefully you have researched the breed thoroughly. They are definitely not for everyone, and require more effort, patience, and ingenuity on your part than many other breeds.
Basenjis are not hyperallergic. Basenjis shed and have dander. Make sure that you spend time with them and more than one time. If allergies are a possible issue, I always give people a hand towel that the Basenjis have had.. to take home. Especially telling if you take that towel and put it under your pillow at night. You can find breeders at www.basenji.org and search by state. Basenjis typically only come in season once a year and this is the reason that you are not likely to find any this time of year