The walk up to the hut is no great problem providing you take your time. The Zurmatt guides at one time had a racket going. They would book two groups per day, one am and the other pm. The am group having paid for the round trip would be beastied up to the hut. By the time they got to the hut they were too knackered to continue. The guide would then run back for the pm group. I've no idea whether this still goes on.
I'm not certain whether the hut is open, it was closed for refurbishment last year. Best check before you go. It always got booked up way I'm advance anyway. All Alpine huts are online these day, try Googling them.
Are you thinking of trying the Hornli ridge?