Hi Rich,
This first link shows you the Elks Lodge today, more in Selah than Yakima. The second link #7 sort of looks like your building, but not quite. It no longer exists. I only know of the one in Selah. I hear it has a great golf course. Hope this helps some.
Carol
http://www.elks.org/lodges/home.cfm?lodge=318
http://www.yakimamemory.org/cdm4/results.php?CISOOP1=any&CISOFIELD1=CISOSEARCHALL&CISOROOT=/memory&CISOBOX1=Lodge&CISOSORT=subjec|f