(lifetime girl guide member here)
It's almost always called flying up here and done at the usual meeting hall although there are golden footsteps, and random gnomes and elves popping out with challenges and points along the way that they have to recite mottos and such. Then there is food!
You're making it a challenge to do it on ice. We have so many risk forms to fill out for any activity that we'd never do that here. If girls do the skate badge they have the skate club sign off on it as they would be taking lessons there. It's always a question to my LTS kids, anyone in brownies, guides, scouts? And I make them bring me their book, it's an easy badge.
Anyway you need a magical ice castle experience. Think of it as an ice show and dim the lights. Put mini Christmas tree lights to highlight the ceremony area, drawn paths or stepping stones on the ice to that spot
and several strong skaters to drag along the non-skaters. You could make arches of lights with flexpipe and rink cones.
Slusher ... humming ta-wit, ta-woo. ....