Awwww, Pat's just yanking your chain, although there's a popular t shirt showing bear tracks and Vibram boot prints converging in the centre, a minor scuffle and bear tracks exiting the far side. "Bears 1 Hikers 0".
If you stay in West Yellowstone, head west to Ennis and over to Virginia City (Hwy 287). From there you could go north towards Helena and ride some nice roads west over the Blackfoot high country, Avon, Clearwater Jct. Hwy 12, 141, 200 into Missoula)

jh