Hello,
With 86 Percentile in JEE Mains, your SC rank would be around 6000 to 7500. With this rank, you will be able to get some non core branches in the newer NITs and IIITs.
I would suggest you to go for some top private engineering colleges in India. You can get good fees concession for this rank in JEE mains. Please visit this link to get a list of such top private engineering colleges https://www.google.com/url?sa=t&source=web&rct=j&url=https://engineering.careers360.com/colleges/ranking/top-private-engineering-colleges-in-India&ved=2ahUKEwjF_ryVmfDqAhVz4zgGHWsFCqAQFjAPegQIBRAB&usg=AOvVaw3ZtyjIynwh5jLDs3nOHHoU

Please use the JEE Mains college predictor by Careers 360 to get to know the probable colleges according to your percentile. https://www.google.com/url?sa=t&source=web&rct=j&url=https://engineering.careers360.com/jee-main-college-predictor&ved=2ahUKEwiNzdHomPDqAhWozzgGHWKzCtAQtwIwAXoECAMQAQ&usg=AOvVaw1pTMu5LewXe0n3JPiA8V2U

Hope it helps

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