Interesting... because when I spoke with my reps’ aide today, I was told (misinformed?) there is “nothing Congress can do” in regard to executive orders.
I would suggest you call again and maybe speak with someone else...
“Congress cannot directly vote to override an executive order in the way they can a veto. Instead, Congress must pass a bill canceling or changing the order in a manner they see fit. The president will typically veto that bill, and then Congress can try to override the veto of that second bill. The Supreme Court can also declare an executive order to be unconstitutional. Congressional cancellation of an order is extremely rare.” http://usgovinfo.about.com/od/thepresidentandcabinet/a/preslegpower.htm
Can’t the Constitutionality of EO’s be challenged by Congress in the SCOTUS? Can the President overturn Federal Law (U.S. Constitution) with impunity? I don’t think so.