No, the DOE is sitting on export applications from companies located in the U.S. And your solution is not simple at all, since it takes years to sign a FTA with anyone.
I'm just going by what your story said. The DOE is sitting on exports to countries that have erected trade barriers against us. No barriers, no holdups. As for the time it takes to remove those barriers, I would say that's up to the country who wants our LNG. It's their actions that are the impediment, not our's. If they want our imports that much then they can change their trade policy in other areas and smooth the way.