Like Fred said, there are camp sites for large groups. Personally, I was at McWilliams just long enough to pitch my tent and was resting up (altitude is 8500+ ft) when we were evacuated because of the "Mahogany fire". A few days later we were allowed to retrieve our gear. From what I could see, the wildfire did no damage to McWilliams, so they should be taking reservations.
I'm not an expert, but I think Mahogany Grove is the usual group campground. https://www.recreation.gov/camping/campgrounds/232167
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