Go for the girls that have never had a boyfriend then. The shy girls who never get any attention.
Your height does not matter - I'm 5ft and you'd be the perfect height for me.
Your problem is that you think you are "better" than the plainer girls. You think you are entitled to a girl who is physically attractive. Therefore you dismiss all potential partners and get upset when you can't find anyone. Lower your standards and you might get somewhere.
Find out how you've done here