Per-item settings in a repeater?

I have created a repeater and I need a way to toggle between two sets of options for each item. It would be great if I could control which fields in the repeater item are actually visible based on this setting but being able to control which fields are output is enough. I’m not sure how to go about this though. It looks like settings can only be created at the field level, not the item level, and neither checkbox nor radio button are available field types to add to my repeater.