Ok, how about pressing F8 when booting up and selecting Safe Mode. Does that then allow you to get to the properties window?
Right-click desktop, select properties. When window opens and flies away do:
Press Shift-Ctrl-Tab to jump to the Settings tab of the window.
Press Tab twice to get to screen resolution.
Press Left Arrow once to reduced resolution
Press Tab five times to get to "OK" button.
Press Enter to accept.
Press Tab once to toggle from "No" to "Yes" for keeping the settings.
Press Enter to accept the new resolution.
Once the resolution is resized, it might make things open within the new boundaries.
This is all based on the assumption that my dual monitor setup and yours will behave the same and that by changing the screen resolution will force newly opened windows to remain visible.