Turns out that the hotel allows you to park with meal validation for FIVE hours. And you can choose either valet or self park.
We arrived just in time for our 7am res, had them valet park the car, enjoyed breakfast an charcters. Then we headed into the park for a few hours. The only downside was the monorail was down, so we had to walk to the front gate. It was still down at 11 when we went to move our car. We went over to HoJo's to try to do a pre-register, and they already had our room ready. Everything worked great.
I'm currently at the garden pool after a nap. Once DS is done with his swim, we'll be walking on back to to DL to use our fast passes and enjoy the evening.