Congratulations on securing AIR 468 rank in IIT JAM..!!

Given your rank, getting a seat in the top tier IITs will be a bit challenging. However, you have a good chance of getting a seat in newer IITs, NITs and some of the IISERs. I am listing some of them:-

1. IIT Indore
2. IIT Hyderabad
3. NIT Warangal
4. NIT Durgapur
5. IISER Bhopal

Yes please do participate in counseling process as ranks often move significantly in subsequent rounds.