what's wrong with your display exactly? It sounds like it's broken but it's still being detected. In that case you'll want to operate in clamshell mode. If you don't have a bluetooth/usb KB and Mouse, you can close the lid on the machine (with the display attatched), then "juice" (my term for "wake up") the machine by plugging in a USB device of some sort.
If that doesn't work you can also shut down the machine, then start it up and quickly close the display. Wait till the machine boots up then you can lift the display to access the KB as normal.