Basenjis seem to have a propensity for thyroid problems, so a full thyroid panel is definitely in order, IMO. You'll need the full six-panel test, not just T3 and T4, to make a definitive diagnosis. It's more expensive (I paid $83 this year in Minnesota), but I feel it's worth it.
Although others may disagree, I get Magnum's thyroid tested every year and fax the results to Dr. Jean Dodds (Homeopet), who, upon the advice of other B fanciers, I've decided to trust in matters regarding Basenji thyroid levels. Dr. Dodds does not charge for giving you her opinion on the results, which I find remarkable.
There is "behavior" medication. I tried "Clomicalm" for Magnum for his SA, but he was allergic, so we had to take the long road. I've heard there are others, but haven't tried them. Feel free to PM me for more info.