Well if it has to be one or the other then it is a no brainer to go with the #2. It is a better trap for the smaller stuff like coon and mink and is a great trap for coyotes, foxes and bobcats. Somewhat light for beaver, but if you make the right drown set rig, it can work in a pinch.
I could be wrong, but i think that use of the #3 for landsets is illegal in some states.