Hi Molly .. Hmm, because she is still REALLY young, I personally would keep with your routine and let her 'grow up' a bit and see before trying to get her a forever home. Can you keep her till she is at least 12-16 weeks? If so, keep establishing a routine -- play, [play/rest/play],eat, groom/sleep and repeat will be important - both to her, and for you to have the proper information you need to find her the right family. Because she is so young and has so much energy, yes, the play periods may be longer - but the goal IS to get her tired and worn out. That way, perhaps the drained energy will also help with the play aggression. Keep consistent with what is or is not tolerated. Sharp sounds that establish a "no" , and then ignoring her, helps establish you are not pleased. She is treating you as both her mum AND her playmates, at the mo, it sounds like.
Also, maybe give her a toy animal to bite and love and toss and play with(Something that is closer or bigger than her.). See if that helps.
Besides fostering, I currently have a 5 month old kitten (Mimi) who is still biting a lot (she's also teething), and is a very dominant kitten.(I call her a dragon hahaa) However, she HAS learned a "no sound" so when she goes to bite me or starts playing too rough, I give her that sound and she has learned to stop. It took her a a few weeks before she learned). She does play rough with our 2 year old female cat who is fine with the chase and play biting (they are practising hunting haha) and then walks away when she has had enough. I mimic that same behavior with Mimi. I'm glad she has that company, especially since the older two cats want nothing to do with the "foolishness" of the kitten.
Your kitten may just need more time to learn the rules of the game she is now living in (how to live with humans!). Remember to really assert yourself with her and be the 'dominant' mum -- she needs to know who is boss. As I said, consistency is key -- and her learning a sharp 'no' sound. Some folk will use water bottles and spray a cat to let them know that a behavior is not welcomed. I don't personally do that, but some do find it helpful. Some folk do clicker training (click/reward for good behavior), but I don't really know enough about it as to whether it would work in this case).
If you do want to begin writing up something, you need to let folk know that she is a high energy kitten, who loves to play, is very sweet, and is still learning manners (and looking for great teachers) and would probably do best with younger companions (other cats, perhaps a dog) to play with, and a animal-savvy family who has the time, patience, sense of humour and desire to raise a kitten.
Hope that is helpful. I posted a pic of my little dragon just to make you laugh.
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