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hootowl, if you can close the drapes and turn off the lights in your flying room that is the best way to go about it, (or wait until the dead of night as you've noted). You really will need it to be as dark as possible in your RL environment as the only other option is to crank up the brightness on your monitor. I personally don't like doing the latter at all. I am fortunate in that my little flying room only has two small windows on which I've install nice, thick shades. When I am assigned a night mission I simply close the shades, turn off the light, and shut the door and I am there. Love flying night missions that way, it is VERY immersive.
And if you are interested, click the link:
Flying Room