Radika and I went to Strawberry Point in February 2015 just after I finished a big medical school exam. We were very fortunate not to get rained on, and in fact we had excellent weather – clear skies, no wind, and starry nights.
We started from Third Beach Trailhead off of La Push Road and hiked for 4.8 miles (map). There were a few moderately difficult sections where we had to scramble up steep slopes, but there are ropes. My advice would be to bring a set of gloves for these roped sections.
It is home 