I like the idea of Chinese New Year themed hunt... but not so much a fan of the nickname idea, mostly because i don't nickname my Shiny Pokemon.
At a quick glance, these are the following animals related to the Chinese calendar;
Rat, Ox, Tiger, Rabbit, Dragon, Snake, Horse, Goat, Monkey, Rooster, Dog & Pig.
So, how about a hunt wherein people have to try and get as many "related/themed" Shiny Pokemon as possible. This wouldn't be an easy CH to complete, but it would be interesting to see which Pokemon people choose to go after, especially when restricted in such a way.
Certain exceptions could be made based on limited pokemon for each animal, but only so far as being related to the same Order/Family... i.e. Rats, belong to the Order of Rodentia, which also pertains to beavers & squirrels, meaning you could choose to hunt Pachirisu or Bibarel.
An example hunt could be;
Pachirisu(Order of Rodentia), Bouffalant(Family of Bovinae), Purugly(The Tiger Cat Pokemon), Axew(Dragon), Seviper(Snake), Horsea(Sea-Horse
), Skiddo(Goat), Pansage(Monkey), Unfezant(Order of Phasianidae), Poochyena(Order of Carnivora), Spoink(Pig).