Hello dear, all best private colleges for engineering conducts there own entrance exam for the admission. If you want best private colleges then you have clear there entrance exam. There are many institute which take admission in engineering without considering jee marks . Some of them are

• BITS Pilani - admission process - BITSAT
• NSIT Delhi - admission process- DTU Entrance exam
• MIT Pune - admission process- MHT CET
• CEAU Guindy- admission process- TNEA
• MIT Karnataka- admission process- MU OET
• VIT - admission process - VITEEE
• BMSCE - admission process- BMSCE Entrance Exam
• SRM University- admission process- SRMJEEE
• MSRIT Bangalore- admission process- KEA CET, COMEDK
• R.V.College of Engineering - admission process- KEA CET, COMEDK.

I hope you get a branch of your choice. Good luck