Re: SWTOR - Black screen then crash to desktop on launch
See if playing single monitor makes any difference. preferably the monitor should be connected via DVI and not HDMI for testing
Swtor for better or worse looks at the EDID rather then just current desktop, given the client_setting file reads correct and a black screen crash is occuring then it usually points to video some how and that can then only be the driver or the EDID itself.
So there is a chance the EDID data is mucking things up in which case an EDID override can be created with CRU (link) the override should only have selected the native height and width and frequency with every other resolution deselected.
incorrect EDID can cause what you are seeing and only way to tell is process of elimination without the overrides and you have eliminated most things
sometimes a particular video driver can cause similar and is normally seen immediately after driver upgrade, but in that sort of case going to an older version doesn't have this issue.