Yeah, those are definitely only going to seem funny to the lowest common denominator -- unless you somehow manage to stand them on their heads and make that person the hero.
You can likely get away with the stereotypical uppity cheerleader with tossing hair, perfect figure, etc. But probably only as a minor character, since she's probably not going to be that interesting, unless you can give her a twist. Everyone's seen her a thousand times, so she's a yawn. Any humor would have to be in what your main characters do around her.
Oh but I shudder and cringe at making stereotypes the hero. After all, those "funny" stereotypes are always kinda pathetic - fat and useless, black and stupid, gay and weak... So making them the hero seems like such an icky blend of pity on one hand ("Here, have something to feel good about for once"), and revenge ("LOOK WHO'S LAUGHING NOW YOU SEE THEM LAUGHING AT YOU NO YOU DON'T CUZ YOU'RE SAVING THEM ALL!!") on the other.
I call it "the Chicken Little". Like, that ridiculous guy, bullied, nothing expected of him, scoffed at, makes it big and saves the day? Nah.
I like discarding stereotypes altogether, like Glenn in the Walking Dead.
Have you ever watched Mrs Brown's Boys? The biggest grossing UK comedy and it's full of stereotype.
Tapping into the bit that people identify with rather than the bit they would be offended with usually works well. There are negative stereotypes that should be avoided but there are other stereotypes that are that way for a reason.
Often I start out with the basic stereotype but then a story will round them out. Even with something like Mrs Brown's Boys that happens and they become less stereotypical as the story goes on.
I never saw that show, the cartoon series of The Boondocks are full of black stereotypes, which makes it funny as hell. I guess they work by stating the issue of racist black stereotypes in a humorous way.