What do you do with patty pan squash? I need cooking/dish ideas.

Make Squash Butter, like zucchini butter

I cut the stems, cut in half, sautee in unsalted butter. Doesn't get much better. Keep it simple.

pickle them, if you like that flavor profile.
here are a bunch of recipes:
https://www.google.ca/webhp?sourceid=chrome-instant&ion=1&espv=2&ie=UTF-8#q=pickled%20patty%20pan%20squash

Oh, forgot you said you don't have an oven - well, never mind about the roasted stuff...:)

You could sub it for summer squash or zucchini in just about anything you would use those vegetables in: quiche or frittata, gratins, on pasta, on pizza, stuffed, roasted on a roasted veg sandwich, simply sautéed with a little butter, etc. It's a very mild flavor, so I like it well-cooked (and if possible, caramelized) to bring out it's sweetness. I also think it pairs well with something green and herbaceous, like pesto.

I keep it very simple and just lightly steam the squash and add butter, salt, pepper and sometimes parm. You might try a recipe search using the search function at the top of this page for something more complex. Be sure to choose "recipes" from the drop-down menu.