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Split the butts down the crack (to get 4 4lb butts) and smoke them at 325. You will also have to use the Texas Crutch (150 to 195). Get somebody to start egg for you, good luck.
Might be better off doing ribs, part of a turkey, or a small chuck roast.
There is a way to cook a butt in a cast iron pot in the egg at -- like 400 degrees -- and it is fast, like four hours -- i tried it, it pulled kind of tough -- didn't have the moisture and didn't have the smoke flavor.
This is the turbo:
End of smoke portion reaching 160 degrees internal