You don’t need the screen to choose the OS, you can choose it with the keyboard too:
- For switching the OS (if you’ve booted the last time into windows and you now want to go into android) you click left arrow on the keyboad and then enter.
- For going to windows, if you’ve booted to android the last time, you click right and then enter.
For me this works with the keyboard dock, but I think it will work with an external USB keyboard too.
I hope, that I I’ve helped you, if you’ve got other questions, feel free to ask me.