Busy but beautiful!
We visited Cape Flattery which is the most NW point in the lower 48. We decided to Beach camp that night and had our sights set on Shi Shi beach. It's a gorgeous beach, but a little bit of a pain to get to and to make sure you have all the right permits. You don't need an Olympic wilderness permit, but you do need a reservation permit from the local tribe. You can get this at most stores and restaurants in town, but we didn't know this beforehand so it made our trip a little more annoying(our fault for not researching). You will then need to prk in one of the secure lots for an additional $10 and walk about a mile down to the trailhead. You cannot park at the trailhead itself overnight. Then, from the trailhead it's about a 2mile walk to the beach where you can set up camp anywhere you chose.
Keep in mind the tide schedule and you will need a bear canister. If you don't have your own you can rent from the ranger station.