Joe W Brown ran the Horseshoe Club from December 1953 until the summer of 1958, which puts the card into that timeframe.

https://over50vegas.com/128_Fremont_Joe_Browns_Horseshoe_Club.html

This card is date coded 1951, showing the same horse in the horseshoe motif as your card, but before Joe W Brown's name was added.

This card is date coded 1960, after the Joe W Brown era. Notice that the horse in the horseshoe has been replaced with dice in the horseshoe