I recommend still seeing the ENT who has been treating you all along until after the clear scan, and several all clears being they already treated you, know you, have all your records, and can take action quickly. Another doctor of hospital can refuse to see/treat you, and most don't like handling another doctor's or hospital's work, which has happened to me. If it's a major CCC they choose you, you don't choose them, and often they ask to send All your paperwork, scans just to decide for a consultation.
You can always add a local doctor in the future, but still keep the CCC, and even ask your treatment hospital for a recommendation after explaining your situation, and probably know someone where you live. I understand the travel time involved, and travel to myself to Manhattan to two different treatment hospitals, MT. Sinai and Beth Israel, from Staten Island, but I do have local doctors to go to where I live, which is best of both worlds.
The ENT does a visual and palpable exam of the mouth, throat and neck, and a fiber optic largynoscope. If anything is suspicious further action can be taken,if warranted, in addition too, an MRI or CT, FNAB can always be performed, and some doctors even do PET scan between 6-8 weeks, instead of waiting 12 weeks, to see if there are any changes in-spite of false positives.
After the first scan, there is no set protocol when any other scans are to be performed, minus any suspicion, and most rely on Physical exam, scopes, and scans depend on the doctor, and hospital policy.
Good luck, and hope this helps.