Here there are also limited options for pack overnighters. We are fortunate though that the council camp is open for packs and checks all the boxes and there is also an Elks sponsored youth camp - they have more facilities for cabin campers, but a very nice open area with a bathhouse that makes it suitable for our Packs.
Most state parks also meet the bill and many have group camping (here).
There is a small cost to most of those options, but even the highest (Elks) is like $2-5 a night.
Hope you find a spot, I was on committee when our Pack was around 100 scouts, it was a def