Hi there. 

There is no other way of getting into MIT without those entrance examinations already mentioned in the question. 

In order to get into foreign universities, writing GRE, GMAT, SAT, TOEFL etc. is compulsory. Without the scores of these, you wouldn't be even eligible to apply for those universities. 

If the fee is unaffordable, you might consider taking an education loan. 

These days education loans of 20-30 lakhs are easily available. 

Wishing you luck!