It’s a long, arduous hike or a scenic ride on the Ebenalpbahn (cable car) followed by a shorter walk up to this 19th-century inn. Berggasthaus Aescher, open May-October, clings vertiginously to the side of the Ebenalp mountain in the Appenzell region of the Swiss Alps. It was built by farmers as a place to rest while their goats grazed. Now it’s a jaw-dropping guesthouse and destination restaurant, specialising in local ingredients and traditions, with views across the valleys to Lake Constance.