All good Horseshoe Meadows camping answers. Let me add another...I've camped up there a couple of nights a few times. No one really cares because there are usually plenty of campsites between Cottonwood Pass, Cottonwood Lakes/New Army Pass and Equestrian camping areas.
When I utilize any the trailheads in HM, I always stay at CL/NAP because it is the nicest of the bunch. If we are using CP or Trail Pass Trailheads, we just move the cars over in the morning.
If you are really worried about this, just move from one campground to the other.
I can't remember the last time I've seen a FS personnel collecting fees up there.
As how to keep the beer ice cold while you are away for a few nights,...
