Probably not what you're looking for and might not work for you, but I just converted my small on-deck grill space into a larger covered porch. In the ceiling over the grill, I put some attractive small spots directed at the grates. I was a little concerned I wouldn't really like to "grill under the spots" so to speak, but it has turned out to be fantastic! The switch is on a post next to the grill, the light makes food look real and nearby there is still just a good glow so the evening outdoors isn't marred by excess lighting.
So if you have the right situation, wired in lights are a good option. Cost me no more than the 2 handle lights I had planned to buy would have.
Rich