However, if you are planning on riding in CA and OR, neither of those states are particularly gun friendly, and neither honor any other state's CCW permits.
Additionally, there may be other places where having a firearm could be problematic. You may want to enter some federally owned building in a national park or a post office, or what ever where it is illegal. Also there may be towns where it is illegal. You may want to stay with hosts. I would feel uncomfortable carrying a firearm into someone's home without knowing they were OK with it and it is not a subject that I would care to broach with a new acquaintance who invited me into their home. Leaving a firearm out on my bike does not seem like a good idea to me.
Then there is the weight. Guns, even small ones are kind of heavy and I worked long and hard to get my gear weight as low as possible trimming ounces everywhere I could.
No matter what option you choose, the best defense of your person is situational awareness and not being oblivious to what is around you.