I've been having similar issues with DX11 based crashes since the new patch.
Like you, nothing hardware wise has changed on my end, drivers are updated, and things were working fine prior to the patch.

In my case it's been crashing when loading cut scenes and in the new dungeon so the running theory among friends is that it's related to the new lighting stuff that's been introduced this patch maybe? but that doesn't make sense with your crashes.

I've had to reinstall multiple times and am not having issues in any of the old zones, including pre-7.3 zones that I'd expect to see this sort of lighting otherwise, (Living Memory, Solution 9, Heritage Found, and related instances)

The arcane codes it gives me, in case it's of help to others:

An unexpected error has occurred. Exiting Final Fantasy XIV.
ffxiv_dx11.exe+1CB45A1
ffxiv_dx11.exe+8B69C
ffxiv_dx11.exe+89873
ffxiv_dx11.exe+1BD8072
ffxiv_dx11.exe+1BD97DF
ffxiv_dx11.exe+1BDC365
ffxiv_dx11.exe+5B65FC
ffxiv_dx11.exe+1E35E0

Otherwise best we can hope for is that Square's knowledge that something is causing issues somewhere will root out and fix it.