Thought you could submit for a re-grade (same TPG) or a crossover (one TPG to another) with the request that if it can't/won't regrade at the same or higher, to leave it in the holder and return it (minus your fee, of course). Yes...no...? Pretty sure it used to be that way at one or both of the top two, but been a while and my memory isn't what is used to be for current policies. Yes, no...?
Cross over yes, regrade no. Regrade is removed from the holder when they get it. PCGS has reconsideration where you can do that, not sure about NGC. A regrade would change the cert number where you would no longer be able to have it restickered by CAC and it would have to be submitted again. Even if you get a 66 there is basically no value difference from a 65 and a 65 with a CAC sells for the same as a 66 without anyways. When its all said and done any regrade/reholder etc will be well over $100 dollars and youd actually end up spending more than the value of the coin by the time you got a new holder and had it back to CAC with all the shipping and submission fees.
The finger print may have showed up after it was slabbed. I don't think it's worth getting it re-holdered unless you really like the coin. The coin is what it is. The grade and CAC aren't going to cover up the finger print that is blatantly obvious now. I predict as time goes on, the TPGs will offer some type of CAC logo or hologram on the label to be able to transfer a CAC sticker from a beat up older slab to a new slab, in order to verify it had a CAC. This is coming. They just don't know it yet...
Finger print drive me nuts. However, one way I found to avoid them is to buy silver coins in older slabs when possible. I think if a coin has been in a slab for over 5 years the chance of a finger print showing up is far less. As far as copper and bronse cents if the coin is more than 20 years old and sitting in a slab even a newer slab with no finger prints your likely safe. Finger prints on copper coins show up very fast. Copper is very reactive.