I love this type of thing! There’s also:
“Guess why?”/“Chicken thigh!”
“Guess who?”/“Chicken poo!”
As a kid I also came up with “Guess when?”/“Chicken shin!” “Guess where?”/“Chicken hair!” and “Guess how?”/“Chicken COW!!” but those may not be quite as good, hahaha.
Lol! That reminds me of how (when AOL was thing and I was probably way too young to be on it but would use it to talk to family) my mom had me type out and send “I bought a bunch of cars and RECTUM!” via email or AIM out of nowhere to random family members with no context, even though I had no idea why that was funny, but she thought it was hilarious. Which is pretty damn funny looking back!