Static / immutable traces

Hi,

I've searched around for this but can't find anything:

I would like to make a trace "static", so that it does not show up in legends and cannot be right-click-edited. Essentially, to behave the same way a shape does when drawn.

Currently the trace in question is used to shade specific regions of a graph. The shading wave is user-supplied. Is there any way to do this other than to programmatically draw rectangles based on the wave?