It will be quite tough for you to get chance in IIIT Chitoor as the cutoff was 4011 in EWS category last year. You won't get any government colleges as your rank is quite low. You may opt for private engineering colleges.

Following are some best private engineering colleges.

1. BITS Pilani
2. VIT Vellore
3. SRM University
4. KIIT
5. Thapar University
6. Manipal Institute of Technology
7. Lovely Professional University
8. Chandigarh University
9. RV College of Engineering
10. BITS Mesra
11. DA - IICT
12. KJ Somaiya College of Engineering

However you have a chance to get a list of prescribed colleges against your rank. You just need to use JEE MAIN COLLEGE PREDICTOR. Click the link below, put necessary information and get result instantly.

https://engineering.careers360.com/jee-main-college-predictor?icn=QnA&ici=qna_answer

All the best.