In a saucepan, heat the butter over medium high heat until bubbling. Stir frequently, heating until butter is brown and smells fragrant and toasty.
Place peaches on grill and brush with brown butter. Alternatively, you can place the halved peaches onto the saucepan used to brown butter. Grill or sear until the peaches have nice grill marks.
Serve halved peaches with a dollop of vanilla bean crème fraîche, freshly chopped mint, and rosemary granola.