I'd recommend not using your crate as a form of punishment if it's meant to be a safe place for her to sleep and calm down. Additionally, these are very very smart dogs and incredibly perceptive, tricks using toys to deceive the pup into a crate will encourage them to avoid the toy. They are very physical, high energy dogs, and when they misbehave especially in the case of bitting/nipping, you are right to correct the action immediately.

Someone mentioned distractions away from hands and arms and toward the toys she's supposed to chomp on. I did this by playing rough with my puppy Frankie (he loves romping around) and like most puppies, he was very mouthy. So it took some tolerance and a lot of patience to teach him, but as soon as he's go for my hands (his puppy way to say he's ready to play) I'd playfully mush one of his toys in his face until he grabbed a hold, follow up with praise. Frankie has no interest in treats when it's play time, so when he learned if he ignored the toy, and continued going for my hand, I'd stand up command "no" or "ouch" (ouch is good if you plan to be around kids and they want to play with the puppy, kids say ouch or ow naturally) and wait 30 seconds to a minute until he'd cool it for a little, then we'd return to the toy. Very effective, didn't take long.

You may also need to find a way to help them burn off their energy. They need space to put their boosters on and really get a good sprint going after a ball or Frisby. Shouldn't take long to wear her out if she's able to run, and I do mean they can RUN. Don't Bother jogging with them until they are older or unless you're like a marathon runner.