The mummy one has one more ability then the shrieker rush, as the mummy, when targeted with reverse time (one of the most annoying AI3) will become pharaoh, while the shrieker will clog your hand. OTOH, the shrieker can just come back right at ya with CC (freeze, arctic squid AI3) avoidance with his burrow ability.
You Choose. I myself use a Lava Golem rush, which pretty much is :
4vh 4vh 4vj 4vj 4vj 4vj 4vj 4vj 52q 590 5c1 5c1 5f9 5f9 5f9 5f9 5f9 5f9 5fa 5fa 5fa 5fa 5fa 5fa 5l9 5l9 5l9 5l9 5l9 5l9
(Note : All thanks go to Plastiqe in that AI3 farmer deck topic thingy majigg in which I found this, loved this, and just slash away with this.)