R' R. Wolpe wrote: "...as far as Siyyatta Dishmaya goes, Rabbonim do not have a monopoly. Doctors have it, too. Ever watch House? He is a Kofeir who gets Siyyata dishmaya!" To further validate the above statement re: Siyata Dishmaya, I would say "Ma Tovu" is a pretty good indication of Siyata Dishmaya and for whatever reasons, Bilaam had it for a while.