We have a flat top range here at Dad's house. The cats roam the countertops (though they aren't "supposed" to) but they stop at the stove and don't venture on that. Any food stuffs have lids on them.

I like the idea of placing a pot of water on any hot spots.

I also have excellent results with water spray bottles. Although it becomes a game with Sparkle, like everything else does with her . . . .