According to the last fer years Cut offs in top IITs and NITs, you can try some of the IIT and NIT. The list of the IIT and NIT is that you can apply for as follows -

IIT Palakkad, IIT BHU Varanasi, IIT Bhilai, IIT Dhanbad IIT Patna IIT Jodhpur IIT Ropar IIT Indore NIT Agartala NIT Calicut NIT Delhi NIT Durgapur NIT Goa NIT Hamirpur NIT Meghalaya NIT Patna NIT Puducherry NIT Raipur NIT Sikkim and Arunachal Pradesh NIT Kurukshetra NIT Manipur NIT Mizoram NIT Rourkela NIT Silchar NIT Srinagar NIT Trichy NIT Uttrakhand NIT Warangal.

Thank you. Good Luck !