#2 Shane McMahon
Someone who could be on television to defend the 24/7 Championship every week is Shane McMahon, who would probably make for a pretty incredible title holder.
Everyone knows that Shane's strong suit isn't his technical ability in the wrestling ring, which is why almost every single one of his matches has some sort of no disqualification stipulation applied to them. Of course, with the 24/7 Championship there are no rules, and you can have a match anywhere at anytime, which is right in Shane's wheelhouse as a performer.
Instead of constantly being in the ring for his matches, he could be backstage, or perhaps at an off-site location where he can use the environment around him to make up for the fact that he's not the greatest in-ring performer.
If done right, Shane could help elevate the 24/7 Championship for a period of time, and his defenses might end up being something that the fans begin to look forward to every single week.