Rotate orthogonal scene view

I would like to be able to rotate the orthographic top view to rotations other than the standard Z-Forward:

nav1

For example 90 degrees to the right, while keeping the other axes perfectly zero:

nav2

You can rotate free hand with the right mouse of course but it’s hard to keep it perfectly top down. Is there a shortcut or editor script that can do this?

You can actually click on the cones in that gizmo to align the view with that axis. Is that what you’re asking?

If you’re looking for a solution to “save” camera positions / orientations, I once made this little tool.

With that you can even switch between different perspective and orthographic views as you like.