Is it driving you crazy because she is playing in the litterbox, or is is driving you crazy because she is kicking litter everywhere...or both?
It actually could be a combination of things. She is engaging in a form of Kitten Play. The litter makes for a wonderful active playground for her. She also might have been one of those kittens who didn't get to spend much time with mom and learn about litter pan manners.
You can do several things, first of all determine that is play. What I mean, is when she is in there digging around and scooting litter right left and every which way does she at the end of this play have a bm in the box and perhaps cry as she is performing her act? If so, get her to the vet to be checked for parasites, UTI or other problems.
If she is just so entertained by the litter flying, then offer her an alternate *game* Take an empty cardboard box, flip it either upside down or right side up- your choice. Cut a few kitten size holes in it off the ground level and toss some ping pong balls inside for her to chase around. Or take an old shoe (a boot is better) sprinkle a small amount of catnip into the toe of the shoe, toss a small sparkle ball into the shoe and let her have at it. Another good kitten distracter is an empty tissue box. Cut away the plastic that covers the hole, toss a ball of wadded up tin foil inside and let her play there.
They usually grow out of the litter box roll and until she does, simply put the litter pan in a larger cardboard box, so when she scoops the litter doesn't fly up the sides of the box. Another thing to do is add more litter. Some cats like it really deep and that is why they scratch at it so furiously, there isn't enough in there to cover their needs.
Good luck! She sounds like a lot of fun!
I would also strongly suggest you buy Amy Shojai's book Complete Kitten Care. It is an excellent resource for first-time kitten owners as well as seasoned cat owners.