86 percentile means your rank would be around 1,80,000 in general and with this rank getting in to nit and iiit would be just your luck even if you go for csab 2nd round

if you are not belonging to north-east india or territory like puducherry than there is hope that you may even get in to nit from home state quota but branch won't satisfy you.

i will personally recommend you to go gor gftis where you have chance to get into college even having better nirf ranking than most other nit.

if you are looking for seperate counsiling than you may also go for thapar institute.