You had me at "large, bearded fishermen", Burly Men at Sea, then you reeled me in with your talk of a branching narrative, and your lovely art. This Scandinavian folk story concerns three adventure-seeking fishermen, and it maybe looks like something Simogo or Inkle might make? Here's the premise:
"Set in early 20th-century Scandinavia, the game's story branches through discovery in a series of encounters with creatures from folklore. You play as storyteller and wayfinder, shaping the narrative around the characters through interaction with their environment."
And here's the latest trailer, which reveals the game's release date, September 29:
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Tom loves exploring in games, whether it’s going the wrong way in a platformer or burgling an apartment in Deus Ex. His favourite game worlds—Stalker, Dark Souls, Thief—have an atmosphere you could wallop with a blackjack. He enjoys horror, adventure, puzzle games and RPGs, and played the Japanese version of Final Fantasy VIII with a translated script he printed off from the internet. Tom has been writing about free games for PC Gamer since 2012. If he were packing for a desert island, he’d take his giant Columbo boxset and a laptop stuffed with PuzzleScript games.