If you have a Snap Star, Business, or Publisher account and you recently posted to your Public Story, you can view or manage it under My Stories in My Profile.
Please Note: You will always see your Public Profile at the top of your 'My Profile' page. If you tap on your Public Profile you will be able to see your saved Profile content and Insights.
However, you will manage your Public Story in the My Stories section of your Profile, along with your other Stories (friend or custom stories).