Don’t think you can so it via Snap but there is a ‘Locate next hitpoint’ Key Command (in the Transport section), which you can set up and then use Alt-X to snip the event, making sure you’ve selected it and it alone or you’ll snip globally. Works ok, not too much hassle once you’re into the flow.
Snap to hitpoint would be worth putting in the features request forum. I’d vote for it.