In reply to MG:
The Dirruhorn from the Bordier is a long approach. It's a good hour to and from the path to the Galenjoch. Possible bivi if that's an option. The route has one short abseil (possibly avoidable) and is by turns good scrambling and loose and horrible. The last section (after the ab) is the best. You will probably need crampons for the Hohberghorn. The descent to the Mischabel is probably on the way out (rockfall danger).
There's a bus service to Gasenried, from where you start. And there is parking there.
There are a few options round there that are still in: Weissmies from Almageller; Lagginhorn S Ridge; and, the Zinalrothorn is still being guided. Those are all soloable, I imagine.