So my brother and I want to go on a backpacking trip. We were thinking about going to the Grand Teton National Park. I was looking at it though and evidently they stop taking reservations in May and they say the competition for back country backpacking permits is pretty stiff during the time that we have taken to go. Anyone have any experience going up there without prior reservations? Or maybe any ideas about other places we could go this time of year where we wouldnt have the same problems? we are driving from Houston-ish Texas so we are thinking about 30hrs max of driving ideally.