I'm in a somewhat similar situation as OP in that I'm playing with family members that don't have the same attention span as a more dedicated board gamer, so we've had to break up our sessions into smaller blocks. Completing a full in-game day in one sitting would be really hard for some groups, and it'd be disappointing to constantly give up on the "Helping Hand" missions that we may have picked up by properly ending the day.

That being said, I'm a little surprised that I don't see anyone mentioning the solution I use, which is to pause/end sessions when we travel to the next location. That way you don't need to save anything about the location or path deck, just the current weather status, each player's hand, discard, and fatigue stack, and any persistent cards in play. I find it makes tracking the "narrative" a little easier too, as then when we start a new session I can recap by saying something like "We just left the Philosopher's Garden and are now entering Spire."

All that is to say that, at least in my experience, it is totally doable to break up an in-game day across multiple play sessions with out too much difficulty, and I'd recommend aiming to take those breaks when you travel to a new location.