Peach Old Fashioned

I have some peaches and have been trying to incorporate them into a drink for a few nights now. The Whisky Peach Smash by Dale Degroff was what I wanted to make but I had no mint. Instead I came up with this simple twist on my simple favorite.

Muddle a slice of peach coated in four or five dashes of grapefruit bitters with a teaspoon of simple syrup.
Add 2 ounces of bourbon and stir with an ice cube until it begins to dilute.
Add one more slice of peach and another ice cube.