With a JEE Main AIR of 87,504 and OBC-NCL rank 27,504, you can get:

Possible Options:

NITs (Home State quota):

Lower branches like Civil, Chemical, Metallurgy in newer NITs (e.g., NIT Mizoram, NIT Sikkim, NIT Arunachal).

IIITs:

Newer IIITs (e.g., IIIT Bhagalpur, IIIT Kottayam) — ECE or IT possible.

GFTIs:

GKV Haridwar, Assam University, BIT Mesra off-campus — various branches.

Fill all choices in JoSAA, and you might get a decent seat.