We do not like to cook inside the van, we found that odors and the inevitable smoke and splatters really make a mess. We carry a Coleman two burner propane stove and a portable Pit Boss grill for all our cooking, we also do have a small microwave in the van for reheating leftovers or pre cooked food.
upd: just a small update, still learning on my Pit Boss but find the grate temps to vary quite a bit throughout the smoker. As it requires moving or rotating the meat periodically. And it turns out that humidity is a real problem. Should swap it for a propane later.
It may be difficult to find a good small stove for your tiny space. Most of the available options are created for the marine industry, and many cost a pretty penny. But with a little research, you will find several RV stove options to make cooking a breeze while on the road. Here are five options for cooking on the road.