Aside from being sure to tailor the challenges to your PCs skill set (there's nothing worse than staring at a locked door while waiting for the damn Rogue to get back with the pizza) there's no problem with it at all.
I prefer the "Only have a hammer" strategy playing the son of Thor.
Locked door? Hit it with a hammer; it'll open.
Chasing a van? Hit it with a hammer; it'll stop.
Negotiating with vampires? Hit it with a hammer; no social rolls needed.
Someone attacking your mind? Hit them with a hammer; the headache will fade.
Shouting "You dare do X to the Son of Thor!?" helps too. X can be touch, attack, waylay, insult, stay locked, etc.
Sadly, it doesn't work with college students (my character is a professor of archeology too)...at least, it won't if I want tenure.