As far as native search goes, you can try requesting note path as a column for the detailed note list style. That style can can be toggled via View > Note List Style > Detailed (and has an existing Notebook: Title column to show/hide). Select Compact to return to the default style.
As far as other plugins go, you can try requesting note path as a variable for any of the lines used for the Note List Preview plugin at this discussion: Note list preview plugin