Turn layers on and off

@Stephen Marsh had a lot of good suggestions. From your description, you could maybe put them in groups, then just turn that group on or off.

If I understand this correctly, you can Toggle Layer visibility on/off with Ctrl + Alt + click on eyeball icon.

Then normal click icons for desired layers only.

Hope that helps.

Set up Layer Comps for the visibility and then drive the visibility through the Layer Comps panel rather than the Layers panel.

Or record an Action and manually run this when necessary.

Or create a Script and manually run this when necessary.

Or you could possibly set up the Script Events Manager to automatically run the Action or Script when a layer is made invisible if it matches the target layer name.

I'm guessing that you can't simply use two Layer Groups due to 'Z' stacking order.

Will the Layer names change?

Will the order of the Layers change?

Are you using Layer Groups or Artboards?

Please post a screenshot of the Layers panel for clarity.