If you hold down the power button for 10+ seconds to fully turn it off does it start up fine everytime with the screen working? ie is it only an issue with waking from hibernation(sleep mode)?
If thats the case for urgent work I would turn off all your power saver settings etc so it does not sleep and be really onto it about saving my work every 10-20 minutes or whatever if on battery power. On AC/wall power it should never sleep if you have it disabled and at the end of each day shut it down rather than hibernate.