I checked out some of the prices for your dates to and from Samui by air. If you want to fly directly to and from Samui to Bangkok you're gonna pay a bit more. I found Thai Airways at 9780 Baht and Bangkok Airways at 8190 Baht.
Nok Air and Air Asia both have return flights to and from Surat Thani with transfers to the pier and ferry to Samui included. They are very reasonable but obviously take longer. About 7 hours or so. The best prices I found for those were 3580 Baht for Nok Air and 2843 Baht for Air Asia. What is interesting about the Air Asia flights is 660 Baht goes to pay for checked bags up to 20kg. So if your pack can be carried on, your flight would only be about 2200 Baht.
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