I never had a problem with my height until i reached senior year of high school where I guess the social tolls and stigmas influence people.
First of all, 5'7" isn't that bad at all, so the people making fun of your height must be really really picky. I'm not saying that you won't feel the same thing we do, but I'm saying that at 5'7", you shouldn't have that much problem getting dates. Look around you. Look how many people at your height have dates. If only 6' guys have dates, then 80-90% of the world wouldn't have dates. That makes no sense. 5'7" guys can get dates, too.
Secondly, yes, you CAN win. You can win by living your life the way you want to live without caring about what others think of you. In high school, a lot of young people care about social status and what not. But as you get older, you stop caring as much. For example, I could care less about what my former high school friends think of me now. They live their own lives, I live my own life. What they think of me has no effect on the way I live. "Dance like nobody's watching" doesn't just apply to dancing. Live your life like nobody's watching.
Thirdly, sure you can probably get more dates and hook ups if you were taller. There's many studies that show that. But is that really the definition of happiness? To sleep with as many women as possible? I know many good looking people who did that in their 20s. It gets boring after a while. It feels empty. At the end of the binge-sex, what they really seek is someone to feel comfortable with and fall in love with. Ever watch "How I Met Your Mother"? Even Barney, the womanizer, eventually settles down after having a kid. So yes, being taller will probably get you laid more. But what would be even more satisfying is if you find that one person who likes you even if you're 5'7". And then you'd put all this LL crap behind you and not care. Unless, of course, you suffer from height neurosis like I did. Then yea... LL or therapy might be the best option, because they're the only options.
And finally, there's more to life than just physical appearance. As Derek Zoolander said, "I'm pretty sure there's a lot more to life than being really, really, ridiculously good looking." It doesn't seem that way when you're a teenager, where physical appearance is like your main way of expressing yourself. But when you get other talents and, who knows, become a top-level boss, then nobody cares what you look like. You'll still be the man. Look at Bill Gates. He's like the opposite of what a male model should look like. But do you think he gives a crap about what he looks like? He doesn't even wear contacts! No, he's the boss and he knows it. That's how you win. You win at life in every other category to the point where your height is not important.