We don't have synonyms for Hamite yet — it may be a rare, specialized, newly coined, or misspelled word. The closest thesaurus entries we have are hamate, halite and samite.
(n) :
A descendant of Ham, son of Noah, a member of the nations or peoples supposedly descended from Ham, i.e. the North African and the Horn African peoples.
(n) :
A descendant of Ham, son of Noah, a member of the nations or peoples supposedly descended from Ham, i.e. the North African and the Horn African peoples.