Hi aspirant

You can get colleges of your state through state counselling.You must be knowing from this year all state engineering colleges are going to take admission on the basis of JEE mains.

There are approx 35K seats in NITs/IIITs and GFTIs .So you have chances in state engineering colleges.

You can use college predictor to predict you colleges:https://engineering.careers360.com/jee-main-college-predictor

Hope this was helpful.