My flight arrives at 10:35. First choice will be the airporter bus. He takes you to whatever destination you require in town. If he can't manage the bike, then I will take a cab as second choice, sharing with another cyclist if possible. That would be a station wagon cab. Expect the fare to be about $20.
However, if I need to travel solo my bike will fit across the back seat of a sedan cab. Since the WA ride I have acquired a wheeled bag that packs down smaller than a box.
If you're staying in the free camping area, its not officially open until noon, so there is no rush.