I think the girls who are the MOST psychologically healthy are probably the ones most likely to avoid high school romances. They will be busy with their own lives and are focused on their grades and building a resume for college. They have activities and hobbies they won't be willing to give up for boys, and usually lack great amounts of time to devote to the drama that is high school romance.
The girls to avoid are the polar opposite. They live for their boyfriends and have no identity of their own when they have no boy around. They don't care about school and devote all their time to socializing, particularly with boys.
For the record, I have grown up a lot since I was your age. No one is born as awesome as me, not even me.
I do know lots of very nice girls in your age range, and they are relatively mature, but they aren't grown yet, and they will continue to mature and grow.
By the way, none of them would put up with a boy who wasn't monogomous.
Relax... I'll need some information first. Just the basic facts - can you show me where it hurts?