oh man. this is tough. my first thought would be, like BB said, to give her things to chew or pay with and if possible give her a larger area. either build a condo or provide an xpen for added SAFE playtime. if she’s not used to being confined at all during the day and then suddenly at night she is confined, i can understand how this would not be to her liking. in addition to that, it sounds like she’s got YOU “trained”… she’s now learned that if she rattles the bars, you let her out. as long as that continues to work for her, she will continue doing it.
if providing more space and nighttime distractions does not work, could you maybe move her out of your bedroom? is there another area in the house that gets a lot of daytime traffic that she’d have company during the day and could do her own thing at night? or… is it okay if she is granted free-range in your bedroom at night? is everything bunny-proofed thoroughly? what about getting rid of her cage and giving her a corner of the room with her food, hay, litterbox…
bunnies are crepuscular. that means they are active in the late evening hours (9pm-12am) and early morning hours (5am-10am), so just when you’re trying to get to sleep is when she’s going to want to play, and in the morning when you’re trying to snooze thru the alarm… we have a bunny room that is connected to my bedroom. you have to walk thru the bunny room to get to my room. my house is old and doesn’t heat well in the winter, so we HAVE TO leave our bedroom door open to get warm air in there… and let me tell ya, those bunnies are LOUD…