you pretty much have to pack it in pack it out. Not sure why that wasn't always the requirement. I think they even have poop or wag bags there now at the 1981 trail head. I doubt you would want to park at montazuma basin and ascend the peaks and then camp at the hot spring but anyway.
i've hiked from copper creek on the cb side and went to the springs. Much nicer and cleaner camping at copper lake and it's a fairly easy hike over the summit to soak with no pack.
See you on the trail
Couple o' FJ40's, BJ70, PZJ77, UZJ100, TDI