Wow, you have some impressive stats and a great life story. Your tenacity is admirable.
But, as I’m sure you know, Asians with high need fall into a tough demographic group – especially for T20 schools. I agree with the recommendation to look into Questbridge. Although ED applications can be somewhat limiting for students who need financial aid, you should consider it. You can always back out if the aid is not enough. Look at the top engineering/ivy+ schools, as they generally have good aid offers.