I am amazed there is anyone who goes/lives in bear country who does not know not to jog, run, or ride a bike-any bike- because you look like a running prey animal-you just walk, stomp around, talk loudly, sing-make plenty of noise, carry a walking stick, try to look big, so you look like something to be avoided. Carry bear spray at the ready, and don’t sneak around quietly. The same goes for being in mountain lion country. You do not want to look like a prey animal-you could become one...
You pretty much summed up my first thoughts.
Scooting around on a noiseless bike certainly would resemble prey to a predator.
Carrying a hand gun in Canada is pretty much a no no, which leaves bear spray as the only option.
Have hunted in griz land. 4 guys on horse/mule scares them away. Single or two people on foot? Pray to God. You are gonna need 12 ga. slugs. Bear spray is for the dead.