FATMAP difficulty grade
Traditionally the Haute Route ends in Zermatt, but a very logical continuation is onwards to the Saas Valley.
Many will choose to do this route with lift assistance, starting from Fluealp, but if you can hack skinning up pistes, you can get the pure tick.
The high col you need to cross, the Adlerpass, is only a few hundred metres below an ideal ski mountaineering peak, the Strahlhorn, so it is well worth doing this as well, to give you an enormous descent and an amazing panorama.
From the Schönbiel Hut you can either descend the way you climbed up to the hut, or more in the direction of Zermatt, down an ablation valley, then tracks, past Stafelalp, then down the pistes to Furi.
We were early, so nobody spotted or minded us skinning up the pistes to Fluealp.
You might get a disapproving look or two if you were later or, clearly, could shell out for a pass if needed.
Once beyond Fluealp take to the wide open valley that slowly takes you up to the glacier towards the Adlerpass.
This last section is quite steep, needs to be stable and may be on foot. From the Adlerpass you can take to the easy ridge on foot, or in good conditions it is possible to skin to within a very short distance of the summit of the Strahlhorn, 4190m, climbing up the short final summit rocks.
Monte Rosa is particularly fine from here and you look S to the Italian plains, usually covered by a sea of clouds.
You can also see literally dozens of other 4000m peaks from here too. Descent from here is pretty mellow, following the main motorway of tracks in the direction of the Britannia Hut, where most people have come from.
That involves a climb, back up to the hut, so it is better to continue to descend down and R, to eventually join the track from the Stausee Mattmark to Saas Almagell.