Many flying clubs in the US can give you a plane for more than a day, usually there are conditions like minimum 2-3 hrs engine time per day. However clubs have their own rules and you may have to be more than a day-old club member to enjoy such privileges. Plus you will undergo a thorough check-out on a plane you intend to fly (also mountain checkout if applicable). I was a member of at least 3 different clubs in California - could easily rent a plane for multiple days if there was availability.