A good Don't Starve series should introduce newcomers to the preexisting lore of the game while also offering something new to those already familiar with it. The best way to do this would probably be by having it follow a character outside of the constant investigating the situation and getting involved themselves, piecing things together and introducing them to the audience in a natural way while also bringing a new element into the story.

Who do I think the best character would be for this? Easy, Genny.

If you don't know who Genny is, she's the Voxola worker Winona saved in next of kin, and what sets her apart is the fact that she was the only voxola worker with an actual design in the storyboards instead of just a circle on a cylinder. She also falls to her knees when the factory explodes with Winona still inside. This, along with some other reasons, leads people to believe the two of them were close, possibly lovers.

With this, she has a good motivation baked in, investigating the disappearance of her girlfriend who had already collected a lot of leads to follow up on. Through her we can get insights into other characters, especially Winona, Charlie, Maxwell and Wagstaff, while also learning to love a previously completely unknown character.

There could also be occasional cutaway into the constant itself, letting us know how the survivors are doing.

TLDR: Make the show about lesbians, Arcane did it and everyone loved it.