There really aren't many good options. The two they you mentioned, Mossyrock and Winston, are not open for early muzzleloader. The closest for you would be 652 and 654 (Puyallup and Mashel.) I know much of that is private but I believe there's some state land in Mashel, and both units are open for either sex.
The only others that are reasonably close that I would recommend would be 501, 530, and 672. These units have very limited access now, due to Weyerhaeuser's land being closed unless you purchased an access permit, but there is some state land available, although my guess is any state land that holds elk will be extremely crowded.