Don, there are some terrific logos on the chapter sites. It would help to know what chapter or association the logo was for. Then, perhaps some regional or local theme might be incorporated. I really liked the San Diego, Philly, Peaks and Prairies, Minn, and Midwest logos to name a few (didn't look at them all)
I think of a sunrise plus dew, sunshine, or waves of grass seed tops as turf characteristics that represent something of an emotional image most supers tell me they connect with.
Or, maybe just an image of a coffee maker and an alarm clock showing 4Am...