IIIT

It depends upon the JEE Main and JEE Advance cut offs, If You manage to qualify the exam by achieving the cut off, You can apply for JoSAA Counselling. It should be noted that the cut off for EWS/SC/ST/FEMALES/OBC category is lower than the general category.
If you manage to qualify JEE Main Cutoff, You would be eligible for JEE Advance which is the intake exam for IITs as mentioned above. However It is usually advised to fill the choices as per the preference of colleges and departments, for example CSE in NIT Trichy is your priority followed by CSE in NIT Warangal, you can fill CSE at NIT Trichy at serial number 1 and CSE at NIT Warangal at serial number 2 and so on and so forth. However, to get any NIT, you must have qualified JEE Mains and to get any IIT, you must have qualified JEE Advanced
But the previous cut offs of colleges should be taken in consideration, it is better to research over the cut off of colleges then make a preference list of colleges and fill accordingly.
According to past year you have very low chances to get admissions in NIT or IIIT.

On such OBC rank you have no chances to get any of the NITs or IIITs or GFTIs as the OBC rank closes around 30000 -33000 till final round of JoSAA counselling. But you can go for some other colleges that are discussed below. If we go through previous year's data of seat allotment On the basis of data mentioned in the question by you, you can go for the enlisted colleges :-
R. H. Sapat College of Engineering, Management Studies and Research, Nashik
A. C. Patil College of Engineering, Navi Mumbai
Rajkiya Engineering College, Mainpuri
KIPM College of Engineering and Technology (KIPM), Gorakhpur
Zeal College of Engineering and Research, Pune
And some more.

Choosing by comparing the two programs only based on the college and course names is not fair and not correct. Both IIIT Kottayam and NIT Calicut are respected universities with unique advantages. In a similar vein, biotechnology and computer science engineering (CSE) are two separate courses with unique career possibilities and opportunities. you should take into account a number of characteristics, including the curriculum, faculty, research possibilities, industry partnerships, placement statistics, campus life, and the institution's general reputation, in order to make an educated choice. Your own hobbies, professional aspirations, and aptitude for the industry should all be considered. and this completely depends on your interests.