Although you have great stats, because of your financial situation, I would suggest applying to colleges lower down on the list. Especially those looking to increase diversity. Now students from the subcontinent are not uncommon by any means. But there are many colleges that need to boost their diversity. Especially coming from an Islamic country. Focus on private schools that can give lots of aid.
For HYPSM I think your chances are probably the same as the overall acceptance rate (5-8%). Although you have great stats, nothing stands out in your application. Focus on schools in the bottom half of T50. Look carefully at each and see how many Pakistani students they have. Some schools may be looking to increase their presence in your country. They tend to have an overabundance of Indian students, so you might get a break.
Take a look at colleges like: U Rochester, Emory, Notre Dame, William & Mary, Lehigh, Santa Clara. You might get some attention here. Good luck