JEE Main Scores

Saurabh,
Your rank is going to be between 27,000 to 46,000. Use the link below to know the type of college you will get with these marks:
https://www.shiksha.com/b-tech/resources/jee-mains-college-predictor
Going for a newly opened IIIT won't be a good idea, as it will take time for the new place to establish it properly.
With this JEE score, you can get you a seat in some of the best private universities like Lovely, Galgotias, Goenka, etc. Most of these universities are offering admissions on the basis of JEE score, their own tests and 12th marks. Some of them are also offering good scholarships on the basis of above mentioned criteria.
Private universities these days are at par with government ones only, in fact better when it comes to infrastructure, faculty and placements.
Check the websites of some of these universities too for more details.

It totally depends on you that how much you can do hard work in the upcoming year and how much interest you have in PCM. If you will work hard then definitely, you will get good marks but if you will not work hard you will lose one important year. If you can avoid social sites like Facebook and travelling to adventurous places and can study for atleast 9 hours a day continuously for one year and can study well. Then, try but if you can not do these things then think twice. Also, consult your teachers about this because your teachers know you well and if you decide to drop then take a coaching institution and if you think not to drop then try for a good private college.