In reply to Andy S:
If you are staying in paid for accomodation in the Saas valley (including capsites) you can get a pass to use the lifts for "free" although there are some strings attached (forgotten exactly what) but it probably works out cheaper.
Regarding routes,
The Lagginhorn WSW ridge is very straightforward, mostly no harder than the Snowdon horseshoe, perhaps the odd move harder. The approach only involves crossing about 200m of glacier but it's only a dying relic with no crevasses, just a big patch of ice that hasn't melted yet (though it might have by next summer!). There may be a bit of snow on the ridge but not anything that requires climbing as such. We downclimbed it after ascending another route and didn't feel the need to rope up for any of it.
It can be approached from the Weissmeis hut, reached by walking downhill from the cable car but the climb then requires more uphill, or from the Hohsaas Hut, cable car almost to the front door. This approach requires crossing the WSW spur which should ideally be scoped out in daylight the day before, it requires a bit of exposed scrambling to cross it protected in part with a cable.
Another straightforward ascent is the Allalinhorn WSW ridge. This can be climbed in a day (no hut needed) from Saas by taking an early cable car and then the Alpin Metro (you have to pay for this but the cable car up to it is "free").
Its very straightforward but is over crevassed terrain though not complicated. If there's a big crevasse that year it will have a big ladder over it so the guides can drag punters up it by the hundred. Expect a blazed trail and a lot of company.
A bit harder but more interesting and really not that hard is the Nadelhorn NE ridge. The walk up to the Mischabel hut is a long slog (the chairlift to Hannig knocks a bit off it) and the descent is a knee grinder but its in a wonderful position when you get there.
The climbing is never more than steep snow walking or scrambling but in great positions. There is a short section over a glacier with a few crevasses but usually obvious trails to follow.
I was surprised by how reasonably priced the Swiss huts were though nothing in Switzerland is cheap. Some give discount for BMC membership but others require a reciprocal rights card available through BMC membership but has to be obtained separately.
Post edited at 00:05