She just needs training on how to behave, she needs socialization. This is very common for kittens growing up without a mama and litter mates.
She doesn't understand misting, so it's not going to work for aggressive play. First of all, since she wants to bite and scratch when you pet her, give her something else to bite and scratch instead. Get a stuffed animal about her size (make sure there is nothing that she can choke on, sewed or glued on it) She needs to learn that it is okay to be aggressive to the toy, but not to people.
Pet her only the number of times she will accept before she gets feisty, if she gets going after two pets, pet her once. If she goes for the first pet, don't pet her, hand her the toy instead.
Always approach her with a toy in your hand. String on a stick and wand toys are good for keepng distance between you while she learns to control herself. If she still goes for you, even after she has the toy, you say firmly NO (use her name) in a hissy voice and turn your back on her and ignore her. This is, in general, how a mother cat teaches a kitten to behave. After a minute or two resume the activity but the very next time she bites at you, again tell her no and turn your back.
The third time it happens, get up and walk away from her, Leave the room and close the door, if possible. After five minutes open the door but don't pay any particular attention to her for a few more minutes.
You need to be absolutely consistent with this, and she will learn. It might take her a week, it might take a couple months, all depends on the cat and the people doing the training. Everyone should be on board acting the same way.
Now, you want her to have success, so learn her signals. Watch for indications of over stimulation such as eyes becoming wide, dark and fixated on a body part of yours. If you see that, stop the activity and turn away. Or ears going back, skin on back rippling, tail lashing, all these are signs of over stimulation. Back off and throw something for her to chase down so she can run off some of that energy instead.
In time, you might see her start to go for a bite, and then catch herself. This means she is starting to learn. Praise her and tell her how wonderful she is, when she does that.
Involve her in the household at all times. Talk to her, acknowledge her no matter what you are doing. Carry around with you some toys that you can throw for her to chase down, any time she seems like she needs to run and play and you are busy doing something else.
Some kittens just have that extra need to go go go even more than most. I have a kitten like that. She also was an orphan, I've had her since she was 4 weeks old. She's 16 months old now and has learned wonderfully to not scratch or bite but she still needs a ton of attention from me daily.
If I skip a play session, I pay for it later, in her mischief. If I play with her enough she is tired and doesn't think about climbing the curtains or getting on top of the door frames or tightrope walking the curtain rods, or knocking everything off the top of the refrigerator and anything taped anywhere..
So lots of structured play time (routine is very important. A cat likes knowing what's coming next in her day. So as she learns what the times are she is going to get that special attention she will come to look forward to it) lots of training on how not to behave, don't worry about the petting and cuddling now, that will come later. She's too busy learning how to be, for that just yet.
Consistency, patience and love will win the day, in the end.
PS Hurray for you, on the Rescue!