There are many boats to visit Naxos Island. Of course from Santorini port you can arrive into 3 hours with blue star ferries.
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Naxos was my favourite island. Yes you can take a ferry from Fira. However, please bear in mind that you can pay to have a "HIGH SPEED" ferry or you can take the "SLOW' ferry as they say. We went from naxos to santorini and had the slow boat but we had first class tickets - it was an unexpected treat booked by out travel agent! Please consider looking into Fantasy travel as they are amazing and booked our entire trip to Greece. They booked all of our tickets for us and catered our trip to our requests but they suggested naxos and it was my favourite island.
We took an afternoon fery from the ferry port near Fira. You will need to take a bus or taxi to the ferry port. Schedules change as summer moves on, but if you check Blue Star Ferries, you will get the schedule. Blue Star runs at least one ferry a day from the ferry port, and when we were there in July, there were two. You will love Naxos after the hectic Santorini.
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