You certainly should apply to any and all schools that interest you(to a manageable level) . If anyone is qualified, you certainly are. But there are just so many such anyones applying to these selective schools that it’s impossible to pick out the best anyones. Give it a whirl, certainly.
Just make sure you have some schools with more reasonable acceptance rates, where your numbers will wow the AOs. I would tuck an early app in with the EAs to these three lottery tickets, maybe several, so you can go for broke if you are deferred at your top choices and decide to apply to a slew of reaches. Some schools with 40-50% accept rates in that mix would work well.
Best in mind that its much easier to pick the well known colleges than to find a school that is certain to accept you that you will enjoy. You’ll excel anywhere, I’m sure.