Best Practices on Editing & Publishing - Question


I have a question on best practices to use when Editing & Publishing a live site.
My situation: I have a menu component that is currently on the live site that I need to edit. The edits will take around 1-2 weeks. I want to keep class names and edit the styling only. This is all fine because I can work on this and publish to Staging.
The issue is that the site gets updated with new blogs daily which need to be published to Production. Publishing a new blog to Production will essentially update the styling in the Production menu with the new ones that I am working on.

Question: How do I edit the styling of the current menu without the changes being published whenever a new blog gets published to Production?

Many thanks in advance.