Is there any reason whatsoever that would prevent me from fighting with two pick hammers, as a good little Craftsman girl should? **^_^**

As long as you have a dual wield skill and the weapons meet the size requirements then there should be no issue with using two pick hammers.

... if someone can swing a frying pan, ain't no reason ya can't use a pick hammer... but make sure they meet proper weapon rules, or are approved by the the GM staff (the test is to place you in a bag and beat you with your own weapon for 30 seconds, and if you don't beg for it to stop, it's approved... j/k.) But, seriously, try to keep the attacking point of such a weapon pretty soft for the sake of the NPCs.

Otherwise, like Phil said, make sure that your character is able to wield two (bludgeoning) weapons with the rules mechanics.

And remember... no hooking with your weapons. With pick axes, I can kinda see a potential for that.