Its probably very unlikely that the Airborne Division were using any Canadian manufactured 3 tonner's by 1944, but your picture is a very good example of a 3 ton stores truck. Just because a vehicle is described as carrying a binned body does not mean a house body.
There was a body similar to this on a Bedford QL in a scrap yard in Somerset about 10 years ago. If I had known of a suitable donner vehicle (Ford) I would have considered saving it.
Its a pity Fords are so rare, but they were obviously surplussed years before the QL's.