I had a similar feeling (though 'cheating' is kinda strong). So I took a dictionary and some letter-frequency stats (also from norvig.com) and computed a three-word opener using the 12 most common consonants and 3 most common vowels: CHAMP GELDS FRONT. (There were more word-sets satisfying the condition; this was the most memorable.)

I guess I'll try this notebook tomorrow and see how it rates my opening.