Place all the ingredients for the vinaigrette in a bowl or tall glass, and emulsify the vinaigrette with a handheld blender. Set aside.
Grill the peaches under a broiler or over a grill pan for a few minutes. They will soften and ensure that they will not overcook and fall apart.
In a large salad plate, arrange a layer of the salad, add the peaches over it, and then the goat cheese in small slices or chunks over it. Sprinkle the shaved red onions over it.
I use a handheld mixer to create the vinaigrette, as it emulsifies it faster and renders it very creamy. Give it a few quick whisks before adding it to your sliced peaches and salad. The oil's heaviness will break down once it sits for a few minutes.
You can grill your peaches indoors with the help of a grill pan.
Giangi's Kitchen provides nutritional information, but these figures should be considered estimates, as a registered dietician does not calculate them.