The only mention we have of a Benítez being on the Expedition comes from the work of Mota Padilla written in 1742. He mentioned that a Benítez died in the Tiguex War.
1530-1540
?AGI, Pasajeros, L.1, E.4450 [May 19, 1534, Pero Benítez, son of Pero García Benítez and Juana Rodríguez de la Oya, native of Baeza, to Santa Marta]
1540-1550:
1540, deceased: Mota Padilla, 162 = Tello, Libro Segundo [424, a fulano Benítez died from wounds at the fight at Tiguex] (this may corroborate a connection between Pero Benítez and Cárdenas who was also in Santa Marta)]
Other Info:
Piferrer, Nobiliario, 4:82, #1661 [family founded in the montañas cantábricas; extended particularly to Andalucia; escudo of gold y un encina de sinople with two wolves de sable empinantes la misma, one on either side of the trunk, linguados de azur; bordura de este color y ocho estrellas o luceros de oro]