To show only online volumes in search results without removing offline volumes...
include the verb online: into your search query.
@void: Suggestion. For user convenience, could you add a menu item under the View or Search or Index menus, [x] Include Offline Volumes enabled by default, or [ ] Exclude Offline Volumes disabled by default? I'll leave it to you where this option belongs, but I suspect the Index menu. Might even join the "Result Omissions" section.