I worry that your ECs are all very one sided - hopefully there is more to you as an individual.
But you certainly have a wonderful profile so your odds are as good as the acceptance rates for international…likely low.
If you can afford full pay, it’s unlikely you will get money from any school - but if budget did matter, you’d be smarter to look at schools with merit aid. So if your family is willing and able to spend $400K - then no problem.
The schools you list - you can apply for aid - I’m guessing all are need blind (maybe one isn’t) - but if they want a lower #, then it’s not the right list - short of UIUC, UW, etc.
If you have UIUC and budget matters, then in addition to Georgia Tech you might add Purdue and for math - U Maryland.
Good luck to you.