Annie Oakley - "Annie and The Bicycle Riders" (1956)

A telegrapher's desperate message for help forces two murderous thieves to hide their loot in a box of bicycle parts meant for a pair of intrepid cross-country cyclists. The crooks force the cyclists to pedal their ill-gotten loot out of town, but Annie discovers their scheme and lays plans to capture the killers.

Director: George Archainbaud
Writer: Warren Wilson (teleplay)
Stars: Gail Davis, Jimmy Hawkins, Brad Johnson

https://www.imdb.com/title/tt0513435/?ref_=fn_al_tt_1