I've disabled as many programs and overlays as I am aware of, although I do need to keep a few open for personal/business reasons. I tried disabling everything in the Task Manager as suggested, and restarting my computer. Unfortunately, just now after streaming for about an hour, I got another error message:

An unexpected error has occurred. Exiting FINAL FANTASY XIV.
2019-07-24_00:37

ffxiv_dx11.exe+30824D
ffxiv_dx11.exe+34DB00
ffxiv_dx11.exe+17C9FD
ffxiv_dx11.exe+17CC33
ffxiv_dx11.exe+8F31F
ffxiv_dx11.exe+54FE5
ffxiv_dx11.exe+58125
ffxiv_dx11.exe+11A225F