I haven't done what you are talking about, but I did have a leather bullet belt for a 44 mag. If you get it and its leather I would check on the shells after it sits for a while. My bullets would get oxidized pretty quick for some reason. The shells would get pretty nasty. I had a 45 70 one time and if I were to guess the cases were quite a bit bigger than the 44 and may cause an issue.
Runnin'em down like a dog has always worked best for me.