Moran State Park is located on Orcas Island (of course :-):

From I-5:
Take Hwy. 20 exit westbound to Anacortes. Follow signs to San Juan/ Sidney, B.C. ferries. Take the Washington State Ferry from Anacortes to Orcas. Of all the wonderful things that the government does for us, pre-planning is not one of them, so you will have to plan, plan for ferry line activities that will inevitably happen in a very big parking lot, with a lot of other cars and a lot of other lines.

I suggest a Frisbee because it does less damage to cars than say a football or baseball, believe me I speak from experience. A pack of cards can be helpful as well, however a clingy, drooling dog can hinder you card playing in an already over-packed car.

For ferry times I suggest you follow this handy happy ferry hyperlink. The ferry ride over here is a beautiful experience which makes up for any ferry wait, the food is decently greased and reasonably priced. For the price of the beautiful scenery on a big boat, it's a bargain, you can expect to pay around 30 bucks for a car and 2 people.

A really handy link to look up right before you leave for the Anacortes ferry is right HERE. It takes you to a Washington Stare Ferry page that includes updated ferry information about ferry lines.

Another fun link to a web cam so you can actually SEE the ferry lines in Anacortes is HERE