When planning, take note of the summer sports report on https://www.engelberg.ch/en/open-trails/summer/ where it is indicated whether the hiking trails are open.
Open Trails: https://www.engelberg.ch/en/open-trails/summer/
Gastronomy: https://www.engelberg.ch/en/dining/gastronomy/
Accommodations: https://www.engelberg.ch/en/accommodation-online-bookable/#/accommodations