I have a couple of American-style buffet places to suggest if you're willing to pay ten bucks for a baked potato and salad. These places aren't perfect but you can eat safely there with a bit of caution.
First is
Western Sizzlin' -- a buffet-style place where you can also order a steak (that part is irrelevant to us). They are in 17 states, mostly in the midwest and south. The one I frequent always has the foil-wrapped backed potatoes, on which I cannot detect any oil. They have a Mexican bar also, so you can top it with salsa, dried chives, fresh onions from the salad bar, lemon, et cetera. The salad bar is not exciting but they have vinegar bottles and lemon wedges so you can sort of dress a salad safely if you want. Bean and vegetable options mostly appear to have oil in them. There is usually one or two fresh cut fruits on the salad bar.
Better is
Golden Corral, which has close to 500 locations in 42 states. They have baked potatoes
and baked sweet potatoes, and they list nutritional info on their website that indicates no added oil. They also have numerous bean and vegetable offerings that taste oil free and show as zero oil on their website. They also have more potential potato toppings -- chopped onions, salso, pico de gallo, and various beans are ones I've tried. They also have more cut fresh fruits on their salad bar. Be cautious, though -- some of the vegetable offerings that you wouldn't expect to have oil in them, do.
