We found the source of Beck's claim. When the White House released its first batch of visitor logs on Oct. 30, 2009, as part of a pledge to bring more transparency to the White House, Stern's name did indeed appear 22 times, more than anyone else listed, including Clinton, who was listed three times.
https://www.politifact.com/truth-o-meter/statements/2009/dec/07/glenn-beck/beck-says-labor-leader-most-frequent-white-house-v/