How to delete burst photos in Mac Photos - No options presented.

Export several burst photos to a folder on the desktop. Then as a test launch Photos with the Option key held down and create a new, test library.  Import those photos and test to see if the same problem persists. Does it? (This tells us if the problem is limited to your current library or is more wide spread)

We're not in the edit mode when selecting a frame and removing the others:

This was all done in the Photos view.

Select the thumbnail and use the key combination of ⌘+Delete to move it to the Recently Deleted album. There you can remove it immediately or it will be automatically removed in 30 days.