Mount Ellinor is an easy drive from Olympia, and one of the best hikes we have ever been on. We went in August and the wildflowers were better than the famed ones of Mount Rainier.
The video shows a vista over the Olympic Mountain range. It is a fantastic hike and for all but the fittest of hikers we recommend you leave early and depart from the upper trail-head. A forest services pass is needed for the parking area (these cost about $5 for the day).