Yeah! You can avail the facility of fee reimbursement from your respective state government. I would like you to visit the official website of IIIT Chittor and visit the Admission section. You will find a option called 'Financial Aid' click on it and you will see there are info's given. Scroll down a little bit you will see that a heading with bolded font is given ' State / Central Government Fee Reimbursement Schemes '. Read the paragraph provided and you will find that there are website links tagged there for different states. Click your state link and thus you can check your eligibility and else factor if there are any rather than the fact you have mentioned above.

I hope my answer helps you. All the very best for your future endeavors!