Trappers Hut on the way up to the Walls is very basic and really only an emergency shelter.
Dixons Kingdom, in my opinion, is better, but not a lot in comparison to the standard of the huts at places like the OLT, Frenchmans, Melaleuca.
In foul weather I would be more than comfortable at using DK hut.
I am not sure about other huts in that area.
There are good tent platforms at the area of Herods Gate where the toilet is.
There's been good discussion on the scout hut elsewhere, and Chris this would be my recommendation to you.
Here are some links from this forum re the scout hut.
viewtopic.php?f=5&t=11&p=4758&hilit=+scout+hut#p4758viewtopic.php?f=13&t=132viewtopic.php?f=5&t=50viewtopic.php?f=3&t=92&p=486&hilit=+scout+hut#p486viewtopic.php?f=9&t=1131There may also be some useful info in this topic -
viewtopic.php?f=3&t=16Hopefully someone else will have more info on the condition of all the huts in the Walls area.
Good luck!
EDIT - and after submitting this, I see Norts has responded too - thanks for that info, I forgot about Meston hut. Haven't seen it myself but met some people near Rogoona that stayed there, they said they were comfortable.