Good place to camp for a large group near Grand Teton

My brother and I host a camping trip every summer and are looking to go to Wyoming this year. We have a group of 10+ people and are trying to find a spot as close to Jackson Hole as possible for as low a cost as we can. We are fine with little to no amenities, as well as any type of location (campground, private campground, or BLM land) as long as we have enough privacy to have no concerns during hours due the size of the group, any suggestions people have would be very appreciated.