Ok - reality check. Chances for HYPSM are really really low for anyone. For kids coming from a country where only a few spots will be allocated - even lower. For kids coming from a country where everyone applying abroad wants to go to HYPSM - even lower.
You need to have a REALISTIC plan.
Start researching US colleges. If you have to have aid - you only need to find the list of schools that are need blind for Internationals and meet 100% of need (a VERY small list of top schools.)
If you want to apply to those - go ahead but you will need a back up plan - either in India or elsewhere (I suggest looking at Canada, the UK, etc.)