The United Empire Loyalist Association of Canada has both a badge and armorial bearings on their website: http://www.uelac.org/
Alternatively, the UEL also use the pre-1801 Union Jack (i.e. without St. Patrick's Cross) which is, somewhat ironically, the same design as the canton of the Grand Union Flag (AKA the Continental Colors, the first national flag of the U.S. used until 1777)
Unlike the DAR's and SAR's, the UEL encompasses both male and female decendants. Also, AFAIK the members of the UEL List do not have any sort of registration/identification number.