Interesting molecular gastronomy idea: Take the carotene butter as mentioned, mix with tapioca maltodextrin to make a carrot flavored powder, then take carrot cake cupcakes with a buttercream frosting make with carotene butter and drizzle the powder on the frosting as a topping. I haven't tried this, but there should be enough carrot in one cupcake to turn your skin orange for a week.
You are generally correct that leaving in the same phase is not as interesting as changing phase.