Warmed fresh peaches and cold creamy ice cream. How do you top that for a summertime dessert combo? How about with some peach thins cookies? This is a quick and easy way to get your serving of fruit and have dessert, too! While grilling up those plump fresh peaches, keep the pan of glaze on the grill to keep it warm. To add some more flavor, use butter instead of vegetable oil to coat the peaches before you grill.