Import Cloth Into Unity from Blender

Ok so long story short, I'm making a fighting game in Unity and am trying to import my character models and animations from Blender. I can export an .fbx to Unity just fine and the armature animations transfer perfectly, but when I try to import one of my characters who has a long coat, the cloth physics on the bottom part of the coat are lost in unity. I've tried using unity's cloth physics on it but the mesh spazzes out and grows to the size of the entire screen regardless of what rig type I use (legacy, generic, or mecanim). After some research it was recommended to me that I use the Lightwave Point Cache add-on in blender which basically allows me to take a simulation and apply all the transformations as shape keys on each frame since these will actually transfer into Unity. However, when I do this the mesh becomes completely deformed in ways it wasn't meant to be. Any suggestions on how to work around this or other methods?