I did a search for "hats" on TDPRI and couldn't find anything, but I admit that I didn't search for "cowboy hat"... Nothing against cowboy hats, but when I think of "Telecaster" and "Hat" in the same sentence, the first image that pops into my head is Roy Buchanan wearing a cap:
Of course, Roy wore other hats too:
BTW, Found this one too:
