i am also often up to 5 am, i work evening shifts, my guys are fine with it, a simple solution for you
get a red light bulb
hamsters cant see in red, so they act like the light is out, that would be their night time, having the tv on too wont be that much light (mines in the room too, and only on really bright whites dose it light up the room a bit) so you can keep it on,
In oxford fred was so bad with bar chewing I kept a small desk lamp and the radio playing to drown him out/fool him to us being awake.. didnt work that well but worth a shot.
you could paint an energy saver bulb with some red glass paint, if you are worried for the heat and the elec bill. or even get a kids night light, so it can light the room just enough to see. I dont have one but have a lil light next to the bed for when i have panic moments
-i think hush has opened her zz2 and tallen 4.5 foot (nope!)
-i think the buns have got out the pen and chewing on wires (nope!)
-someones wheel has moved and pings the bars (all the time, unless i tape them down.. need to do that for hammond..)
-i hear somthing touch a bar and i think the door is open and hams are loose..(nope)
I find it easyer to just go and check, and go back to bed, often i get up 10 times in the night for one noise or another.
the sound of the tv wouldnt be a problem, its their 'natural enviroemnt' they are used to, e.g, in the wild they would have trees in the wind, owls hooting, other animal noises, so having a tv or a radio wouldnt bother them at all