I'm doing to recommend an unusual pick. There are only two green graveyard cards I've been happy about. One is
Life from the Loam, the other is this:
It requires some finesse to run, but it's a synergy piece so it's unlikely to be overpowered. The key is that it's 4/3 haste, which is juust big enough to compensate jumping through hoops. If it were smaller, it would be terrible. But you will be happy to play it as is, as a big beater and then bring it back a couple turns later. Unlike in constructed, you only bring one back so it's not oppresive.
The fact that it's better if you play green, but doesn't strictly need it helps.
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Genesis is heavily limited by the fact that adding 2G to any cards makes it substantially worse. Sure, you can recur Bone Shredder with it, but at 6 mana, you are unlikely to win that way.