I've tried uninstalling and re-installing XCOM entirely, and verifying my cache. I've tried uninstalling and re-installing Long War. I've tried uninstalling and re-installing all of my sub-mods.
I've fixed the LiqoureStore map problem (though the missions aren't even on that map). For the last two days (since upgrading to LW B15f) every time I start up XCOM it crashes once I hit the launch mission button.