IIIT

Based on the information you have given, you have fewer chances of getting into NITs, IIITs, or GFTIs. However, you can try getting admission into government colleges and private colleges in your state that accept JEE scores. According to your rank, I am suggesting some colleges. The list of colleges is given below.
1- Rao Birender Singh State Institute of Engineering and Technology
2- Ch. Ranbir Singh State Institute of Engineering and Technology
3- University Institute of Technology, Jhabua-Rajiv Gandhi, Proudyogiki Vishwavidyalay
4- Samrat Ashok Technological Institute (SATI)
5- Barkatullah University Institute of Technology, If you want more information regarding the college, course, or anything else, kindly visit the given link (https://www.shiksha.com/engineering/jee-main-college-predictor). .

As you are aware, the JEE Main Cutoff for 2022 was recently released, and usually this cutoff is of two types: the qualifying cutoff and the admission cutoff. The admission cutoff for JEE Main is the opening and closing ranks for B.Tech admission in each government institute such as NIT and IIIT. It will be released by the Joint Seat Allocation Authority (JoSAA). According to the information you have given, you may be able to get into select institutes such as Assam University, Subhas University of Technology (West Campus), and Delhi Technological University. However, it will also depend on the branch and your home state. Also, you have less chance of getting into IIIT without the home-state quota. Alternatively, you can use the Shiksha platform's JEE Main College Predictor 2022 (https://www.shiksha.com/engineering/jee-main-college-predictor) to get more specific recommendations based on courses, fees, and rank. Here you need to enter your JEE rank or percentile, gender, category, and domicile to get recommendations of possible good colleges.