There are “travel agents” for sleep away camps. The cost is paid by the camp that you choose, if you choose one.
This is a very efficient process. You have a long phone call with the agent and tell her everything about what your daughter’s interests are, what you want out of a camp, what area of the country, etc.
They send you an email list with 4-5 suggestions and you can research from there and pick one.
There are literally hundreds of accredited camps. It is very useful to have someone who knows all of them to narrow down your list.
One of them is called The Camp Lady. I think her actual name is Patti.