In reply to phja:
I'm in the Saas Fee recommending camp.
Jeggihorn (3000m peak, perhaps by the Via Ferratta)
Mitaghorn (3000m peak, perhaps by the Via Ferratta)
Allalinhorn (4000m peak, from lift like the Breithorn)
Lagginhorn (4000m peak, from Wiesmies hut)
Wiesmies (4000m peak, from and back to Amagelar hut)
All the above have either none or only minimal crevasse danger.
You mension the Nadelhorn. That's a bit tougher for the following reasons...
1) It's quite high at over 4,300m and needs really good accimatisation.
2) It has a hellishly long steep hut walk-in (which some may enjoy).
3) Some sections of the route can be quite exposed and scary. I remember once in descent struggling to traverse a section of steep softening snow above an unimaginable slide/drop.
4) The route over the glacier runs parallel to the cravases meaning an error could get very messy.
That all said, I'm an alpine bumbly and I've managed it twice without killing myself.
Post edited at 15:11