Poking around and looking at various recipes
online it looks like adding extra fat, and using ground hominy to thicken it are the two consistent steps. There are meat and vegetarian recipes and it looks like anything goes but if I were awarding points I would give extra for sticking to New world vegetables like squashes, tomatoes, potatoes, corn, beans, sunchokes... Makes me crave some stew actually. Unless there's some cultural background I am missing it looks like a very reasonable way to use what up you have on hand day to day. No matter the culture everyone
should have a dish like that.
If you feel more comfortable with specific recipes
https://chuckfirstpeopleskitchen.com/en/season/2/recipes/6/sagamite-soup/ this person seems pretty confident about their vegetarian recipe.
Ground hominy is also known as masa harina and is the same flour used for corn tortillas and tamales. I'd say grits were another option as they are traditionally made from hominy, but I suspect some companies are using corn that hasn't been nixmatalized. I see a lot of online articles claiming regular cornmeal is just as good. That's inaccurate because the nixmatalizing makes the corns nutrients more available for your body.