I’m not super familiar with it, but I think Strixhaven would easily allow for something like this.

Usually those kind of slice of life are between adventures. I do think Dragons of Icespire Peak has a home base with a quest board that has some low level adventures. If you take it as a starting point I think you can keep the vibes going.

If you are really interested in playing this way you will need to stop leveling up after a certain point. I think level 6 (maybe 3 if you want to be really small) can be the max with a potential to gain more HP or feats instead of features. This level 6 cap has been used in older editions for a type of play