"The Car" refers to their higher-end models. They have plenty of Altimas, Camrys, RAV4s, etc in their fleet as well if you don't want to buy-up to the nicer classes. It's marketing after all. As far as a Standard Elite SUV goes, a GMC Acadia is pretty common but so is a Ford Explorer or Chevy Traverse.
AWD on any of those models is hit or miss. You might get one with AWD standard or they might make you upgrade for a fee. It depends a bit on luck, what they have on hand when you arrive, how good of a mood the agent is in, etc.