The Salmon river flows into the Queets, not the Quinnalt.
The upper Quinnalt is listed in the fishing regs. (you can fish that section) Not much bank access to fishy water up there though.

http://www.wdfw.wa.gov/fish/regs/2003/2003sportregs.pdf

Look on page 39 of 124

J.D.
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RIP Tyler Greer. May Your seas be calm, and filled with "tig'ol'bings"!