I travel with my trekking poles often. Mine are the collapsible sort, though, so they easily fit in a checked bag. They are not terribly expensive, so you might want to look into collapsible ones specifically for travel. Probably cheaper and easier than all the hassle of designing a tube, or purchasing a bunch of packing supplies, or paying for oversize luggage.

I have also carried mine on. They have pointy metal tips covered by rubber stoppers. I thought security might balk, but they have travelled as carry-on all over the US, Europe, and the Pacific region with no issues. One agent called them my "canes." Um, no, (they look like ski poles) but if that lets them go through security, who am I to argue?