In reply to Full moon addict:
I think it's far more commonly done starting up the Morgenhorn than the other way round, which is logical, so that the descent is by the rocky NW ridge of the Blumlisalphorn - though there is still of course a fair bit of glacier to cross at the end of the day.
Starting with the N face of the Blumlisalphorn and finishing with the Morgenhorn definitely sounds like a great way to do it! I've always fancied that north face.
The NW ridge of the Weisse Frau looks interesting too as well as its N face (though obviously not as part of a full traverse). Reaching the cross of Max Blau at the foot of this ridge was one of my first Alpine experiences - with my Dad, back in the day when we were totally clueless and just looked on a map and tried to go somewhere with no information and only hill walking equipment. We'd actually been trying to climb the Wilde Frau (another interesting smaller peak, very easy until a rock pitch to finish), got totally lost in the mist and had one ice axe between us and no rope! Ridiculously dangerous in retrospect, of course, on a reasonably serious wet glacier. We'd previously only climbed very small snow peaks like the Schilthorn and Schwarzhorn and thought we'd try something a bit higher. It was after this experience that we realised it was time to properly try to understand what we were doing, rather than making it up as we went along!