If you have to be there at 3, I'd definitely do the stay over. Paying for a hotel isn't great, but at least you'd be more ready for staff training and not as rushed. I've done the getting up super early thing for flights to precamp before, and it's no fun how tired you are when you get there, just when you want to be full of energy getting to know everyone.

On a separate note, I leave in the morning! And suddenly today I'm nervous about this whole change of camps.