If you have white smoke and coolant loss you're leaking coolant into your cylinders one way or the other.
Coolant flows through the lower intake manifold where the manifold meets the heads, just like the intake ports. If the gasket failed it can be allowing water to flow from the coolant ports over to the intake ports. Also, coolant flows through the egr spacer which is directly behind the throttle body. A gasket keeps the water out of the intake tract. Again, if this gasket has failed water can leak into the upper intake and it will get sucked in with the air/fuel mixture. I would start with unhooking the EGR coolant lines and bypassing it first, to see if the smoke goes away. If it does, you found the leak, replace your throttlebody and egr spacer gaskets (not the EGR gasket itself this is different).
If not, I would suspect then it's the lower intake manifold gaskets.
That said, it's not -impossible- that you have a blown headgasket and it's only letting coolant into a cylinder without contaminating oil etc. However, cylinder pressures will also be going into the cooling system causing air bubbles that will be evident if you run the car with the rad cap off and watch.