National Institute of Technology Hamirpur
You cannot apply as the home state quota. Because you do not have the proper domicile.
From all the options you gave IIEST is the best option. You can even check the reviews and ratings of the college below:
IIEST Reviews
Good luck.
Yes, you have chances based on your rank in NIT Hamirpur. To check your overall chances you can use below college predictor JEE Main College Predictor
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