This is a real gem, full of rustic charm and artefacts. Food is delicious, highly recommend the Raclette with a large beer.
We ate here on chalet staff night off and three lunchtimes on non-skiing days. Alp Hitta is quite a treck out of town but well worth it, there is a good electric bus service during the day but taxi in the evening is quite expensive. (Tip - bus there and walk back as return is down hill)
Meat is cooked over an open fire - delicious.
Prices are very reasonable for Saas Fee and the lady who runs Alp Hitta is a real character. This is a popular place with locals and cross country skiers as the langlauf track starts near the front door.