I do think the concept of an uchiwa fan is pretty cool after I first saw one in the "Redeem miles" section of the Nook Stop in Resident Services, but I didn't want my uchiwa fan to be this weird green one with big bold letters that say "NOOK INC." on them. I thought that maybe Kicks would have some in store or maybe the Able Sisters carried some once you got their store, but no. I can't find any other uchiwa fan besides the ugly Nook Inc one. Is there any other uchiwa fans in the game? If so, how do I get them?
Given the listings on Nookazon, I'm going to venture that there are no other fans in the game currently.
Emphasis on "currently" -- I wouldn't be surprised to see more added in future holidays (Lunar New Year seems a likely candidate, though that's fairly far away).