Unfortunately, much like Komi-San, this manga doesn't have a good format for an anime, since each chapter is often it's own entire story, and it doesn't have a true narrative
You just need to find a good director, especially one who has experience in adapting 4-koma (K-On and A-Channel are good examples of adaptation that make transitions very natural ). There are examples of adaptation that are more straightforward in terms of chapters, even maintaining "episode breaks" like Tsuredure Children.
If Atsumare! be adapted in the second way I don't see much problem