According to daphne on frasier which beetle would Eddie be?

Daphne never explicitly states which beetle Eddie would be in *Frasier*. She often makes comparisons between Eddie and various insects, like calling him a "big, hairy spider" and comparing him to "a praying mantis".

However, she does *not* specifically assign a beetle species to Eddie. This means there is no canon answer to your question, and it's purely up to interpretation!