Use a secondary Instagram account that does not identify you
View the story while logged into that alternate account
Turn on airplane mode before opening the story, then close the app completely before reconnecting
Use a web-based story viewer that does not require login
Use a third-party anonymous story viewing service
Ask someone else to check the story for you
Avoid interacting with the story, such as replying or reacting
Keep your profile private and separate from your main account when possible