Likely a modern blend of Bray and Jayson
Brayon is a contemporary American invention, likely created by combining the popular prefix 'Bray' (from Braden or Brayden) with the suffix '-on' or '-an'. While it lacks a singular ancient etymology, it follows the phonetic patterns of modern surname-style names. It is often associated with the meaning of its components, such as 'broad' or 'brave'.
Less common today
Brayon isn't in the latest US Top 1000. It last peaked at #4,449 in 1991.
US births per 5-year period, 1990βpresent (SSA data).