We found this character "Wolfe Buddie" at an online T-shirt shop called Crywolf Clothing based in Toronto.
Well, it was actually Paul's find. He emailed me the link saying "This is my impression of Kaiju". A little timid-looking boy inside of a wild and intimidating outfit. It was perfect.
Kaiju doesn't seem to mind this depiction of himself... We'll keep it away from his reach, though, for now, in case he decides to play with Wolfe Buddie.