Final update on this issue. I somehow, whether by fluke or being quicker than usual, managed to skip the cut scene talking to Varshahn and was able to continue on with the MSQ and finish it with no more crashes or issues. Curiously, I went to an inn to watch the cut scene in question and as soon as it loaded it crashed me with the DX11 error I have been getting, so, that cut scene must really not like me for whatever reason. Either way, I was able to finish up the MSQ and while I still have the 50/50 chance to crash upon porting to Limsa, I can just avoid it unless I really, really need to do something there.