Mystic Seaport does not have Tralwers. It is a historic preservation of the boatbuilding era of NewEngland from the days of Yore. ie: Dories, Whitehalls, Peapods, Barks and Schoonners
They do have a fine Whaling vessel Charles W. Morgan the last surviving wooden whaling ship from the great days of sail. You can still smell the Blood & Blubber.
You simply must visit.
Another fine place is the Peobody Museum in Salem, be sure to Visit the Salem Maritime National Park while there.
And you should drop into Bath Maritime Musem. Plenty of great boats and you can go for a ride on an old Grand Banks Schooner, but it has been retrofitted with Diesil and smells like it.
For a real authentic experiace go to Gloucester and join the crew of the Schooner Adventure. its 127 feet long and Sail powered. Nothing like comming abourd on a cold winters morning for some bacon & eggs and a hot cup of coffeee cooked on the wood stove in the galley. It has the real smell that a schooner should have. You will like the feel and sounds of the creaking of the wood as she rocks in the waves. I cleaned her hull years ago and took off about a foot thick of Barnacales & Mussles and she did 7 kts when I finished. WOW!
A Morden Trawler such as a Grand Banks, A Kadey-Krogen or even a Mainship would be well suited for Trolling for fish
I would eliminate the back cabin that a lot of them have and install refrigerated fish boxes in the decks.
A set of four electric powered trolling/Jigging reels with blocks that could handle 1,000 pound line and a baiting machine.
You could run this as a Longliner and a Troller/Jigger.
As for accomidations 4 bunks in the bow and a gally with stove, sink & diesil cabin heater. a large potty water tank and showers in the 2 heads ( One in the cabin and one on deck to keep the blood & gusts out of the cabin.
A Flybridge with three helms. one up top one in the cabin and one on the back deck
You could make a very nice fishing boat.
If I had somthing like this 72 ft Seaton I would be out Swordfishing & Bluefin fishing all the time