Ok I'm glad I'm not the only one who thinks Amangiri charging $4K/night for room only is pretty insane!
Apparently the new tents are supposed to open this summer, and I think those start at $4500/night.
I'm surprised that they're that popular in July, I'd highly recommend avoiding going in July, last time I went in the summer, it was so hot we didn't really do much other than staying in the room, and we tried to do activities before 9am or after 6pm.