As much as many people here are saying not to use loading screens at all, one thing I’d say is that they aren’t in any way harmful and they won’t break the immersion too much if they’re done right. Extra Credits, a YouTube channel focused on games and game development, did a video on this very recently. I’d suggest checking it out.
The one thing that caught my focus the most when I was watching that video is having a mini-game within the loading screen. It’s a very simple idea, and it could work very well (but could be executed very poorly as well). What I’d imagine is being tasked with making different foods by pressing a sequence of different buttons. You could have a variety of different foods and tasks (frying, baking, mixing, etc), and finishing the food could reward you in-game.
I really hope you do find a fitting answer to your question, though! Just thought I’d toss in my two cents.