You can’t really bank on becoming a TV personality–the ways to get there are weird, and so much is up to random chance, as well as superficial things such as how attractive you are, who you know, etc. A bachelor’s degree can only benefit you in the long run, because if you wash out, you’ll be qualified to get more than a job at McD’s (though, fun fact, to be a manager in fast food, you often need a college degree!).
So, do you enjoy meeting lots of people, hanging out and socializing, independent of your parents but still living on their dime? That’s college. (it’s also academics and I’m a huge nerd and loved school, but I don’t think that aspect is going to sell you on it) It sounds like your parents want you to go to college, which means they’ll probably pay for college, whereas will they give you 20-30K a year to live in LA and try to make it? LA is EXPENSIVE (and 30K actually won’t go far–it would cover rent + some utilities). Also, the only way to go directly into becoming a “TV personality” are: become a struggling actress, become a struggling model, do well on America’s Next Top Model, star on another reality show & be the break out personality, be interesting enough for your own reality show to be created around you (and let’s leave unspoken how Kim K actually got famous; I hope you don’t go down that route), date someone famous (and get onto their reality show), struggle for years and make it big as a comedian or break out as a massively popular YouTube star. 99% of these ways are unattainable by 99.9% of people.
Or, you could get a Bachelor’s degree, get your foot in the door with your first TV job (as a PA, for instance), make the right friends, meet the right people… and maybe get lucky. Oh, and I actually do recommend creating your own YouTube channel if you have anything interesting to say… that really can be a way to break out nowadays.
If you want to be a TV personality, as opposed to an actress, I would highly recommend looking into majoring in broadcast journalism. You’ll learn how to do on-camera work, as well as edit your own packages, and you’ll have the opportunity to qualify for internships that might put you on the path to where you want to go, that you won’t get unless you’re in college. Or, major in TV, which is a real major (and kind of fun!) and similarly will help you with networking. Or just go to school for acting, which isn’t a bad idea, either.
What are your stats? What can your parents pay for college? What state are you from? I’m sure we could find a school that would make your parents happy, and set you on a good path for later.