I came up with few photos from a web search. Not a particularly photogenic subject, I guess. I'll make another web stumble this morning and see if I can come up with more.
Probably an obvious point, but I think what kit the soldier would have during a carrying party would have a lot to do with where the loads were being taken. If they are going into the lines with the burden, certainly their rifle, canteen, light pack, satchel and related stuff. If they were moving the burden in the communication zone or rear areas, less likely to carry weapons and personal equipment. Barbed wire and stakes wouldn't have much use in most of the rear areas; communication cable much more so.
All the best,
Dan