1.) WELCOME! This means we need pics of your bike...
2.) You ride a bike, and you have a cane. BADASS! This means we need pics of you, your bike, and your cane....
3.) To answer your most direct question, is your bike a pre or post-gen ninja? (pre or post 2008? Following from that, what diameter is your cane? Have you though about mounting a pipe down the length of the fork tubes to slide it into? To answer your question most specifically, I don't know what kind of clip they use for the Repson in House, but I do know I could probably make something like this work - a spring clip for the garage/basement organization section from ACE:
Crawford Spring Grip Bar (Sg5w) - Wall Organizers & Hooks - Ace Hardware
As far as not putting holes in the bike.... That's gonna be a tough one. For this application, you really want something that's solidly mounted to the bike, no sticky goo, tape, or glue.... Hope this helps, and if it's insufficient, post up with ideas and maybe we can brain storm a plan together?