So, I'm going to assume you're happy with games in general. I, personally would go 360. But, I've always had a TV in my room. And, I'm pretty sure it'd be hard without one. So, if I were you, I guess I'd get the TV. Nowadays you could get a very solid sized TV with a dvd player or something in it too.
This TV, though this one's from Walmart, might be the one you want.