The Cove Palisades

The Cove Palisades is a large state park in which the Crooked River splits around a long, towering promontory which looks like the head of a dragon or a crocodile.
The long river arm on each side of the promontory has its own bridge, so you can enter the park from either side, cross a bridge to the central cliffs and exit on the other side.
There are also excellent views of Mount Washington and the Sisters volcanos from atop the cliffs. Quite a dramatic setting!