Do i have to where head gear braces?

I'm 14 years old, when i was younger i had a pacifier and now i really need braces. I'm in high school and i really cant wear head gear that will crush me. after i got rid of the pacifier i sucked on my thumb till i was like 7 or 8. when i lost all my baby teeth (i was 11) they started to come together because they use to pushed out. back then they where so pushed out i could stick my fingers through the hole while biting down really hard now i cant do that thank god. but its still really open and i have a gap. i can deal with the gap its just i really don't them to be pushed out. i really want Invisalign (the clear braces) but im not sure that it will help my teeth it didn't say anything about fixing pushed out teeth. the only thing i saw that will help my teeth is head gear and i will not be getting that. this modeling place keeps calling me and begging me to come in but I'm really scared that they'll tell me no because of my teeth. i don't want my dreams to go to waste because of my teeth. what should i do or get that will make me have the best smile possible?