Dweller by the brushwood or a variant of Rice
Ryce is a rare surname-turned-given name with two primary paths of origin. It may derive from the Old English 'hris', meaning brushwood or twigs, or serve as a phonetic spelling variant of the Welsh name Rhys, which means ardor or passion.
Less common today
Ryce isn't in the latest US Top 1000. It last peaked at #8,111 in 2010.
US births per 5-year period, 1990βpresent (SSA data).