ALWAYS apply, the worst that can happen is a No.
For once I have to agree with RR! Apply! You have a fresh degree, from where you are apply with Duke, go down to Columbia and apply with the state, slip over to GA and apply at SR.
When you selected your major you must have had some ideas! Apply! And talk to the advisors, professors, etc. at Clemson.
What you see here is mostly for the experienced, but, again your professors/advisors are up to date on who is looking for the new folks.