If you have the time and the alpine experience in stony terrain, an ascent to the Hörnli hut, possibly with an overnight stay, is worthwhile to try out hut life. It's fun even without climbing the Matterhorn
The view is unique. The experience is something special. Here you can without problems on 3500müM a hike on the Mönchsjochhütte make (3600müM) and right up there overnight. Or just like us, in 4 hours on to Konkordiahütte.