I would say, despite it not being what you might want to hear: don't carry and ride. At least not on you: perhaps a tank bag or something.
The statistical likelihood of coming off a motorbike are higher than needing a gun. Significantly higher.
People carry a gun in order to improve their chances of avoiding harm in a confrontation, but having one slapped on your person yet that is precisely what will increase chances of severe injury in an "off".
In any case, on a motorbike, the best weapon you have in a road-based confrontation is speed and agility. That has removed me from many a contact with some of the more "me tarzan" road users...
You cannot wake someone who is pretending to sleep. Stop pretending. Wake up.
Doubt: ...it's the only thing I'm sure of...
-Marsupials: Nature's idea of Concealed-Carry-