Just confirming that "Windowed" Mode does in fact correct the issue for the workaround, "Full Screen - Windowed" mode does not work..
It works, you just have to minimize the Windows instead, since "alt-tabbing" while in "Windowed" mode won't do it. (The workaround is to just have SWTOR not displayed on screen during the "crashing phase". The way to do it does not matter).