Carb, huh? Didn't think it would be that but in a later post you mentioned you'd only ridden it once or twice since getting it so that makes sense, I guess.
When you say overheat after 5 minutes, what do you mean? Fluid dripping? Glowing head pipe? Explain as all anyone has is your words to go by.
After 5 minutes ir sp of idling your header will glow but you shouldn't have dripping coolant.
If its still stock jetted, which is lean from the factory no matter where you live altitude wise, read the Stickys at the top of the forum and rejet accordingly. Or you possibly could have moved the garbage from one place in the carb to another so it may need a full clean. Again, search on the forum for how to do that, it's been covered and you can seriously damage you carb if not done correctly. And put back together correctly as well.
You're on the right track, though. If its jetted right it will idle longer but it does need air moving over it.
Mike