hi Silver
I sometimes use that tape. It is tricky to fit - harder that the tires in fact, but will never move once you get it on the rim and it's very tough. You have to use tire levers to get it out of the rimwell though.

I put a rat-tale file (a long, thin cylindrical file - a pencil or pen might work too but aren't usually strong or thin enough) through the valve hole in the rim and thread the corresponding hole in the strip onto the file. Then I work the strip onto the rim from the valve hole (like you describe for the tire). Even then it usually takes 2-3 attempts to get it right, but it's worth it in the long-term.

Good luck!