Ford F350 6.4 white smoke, loss of coolant and stumbling?

My fiance has a 2008 Ford f350 6.4 with about 120k miles on it. Every trip, even on a 5 mile short trip, it shows "cleaning exhaust filter" on the dash. Had it cleaned by a mechanic while getting alternator changed a couple months ago. Now out of nowhere, the truck upon starting up starts spewing out heavy white smoke. It smells like regular exhaust, not sweet like coolant. However, the coolant is getting sucked up every few days or so, and sometimes the truck makes a high revving noise and starts to overheat. Adding coolant and/or water helps temporarily. Could this be a bad EGR valve? Maybe deleting the dpf regen cycle stuff would help? I'm hoping it's not a cracked head or anything. The oil has not been changed for a while and I know it's due for a change.

Blown head gasket. Rebuild.