A.H.
My 3-1/2 year old son has it on the back of his knees and his back and bum--areas where he is aggrivated by eczema. I'm not sure what "beatle juice" is, but it sounds uncomfortable. I've kept my son's under control by placing a drop of apple cider vinegar on a round or square bandaid (one where the cloth part of the bandaid is completely surrounded by the sticky part so that is completely sealed and no outside air gets in) and place it on the lesion. I leave it for 24 hours, take them off, and then wait another day or two. After a few treatments the lesions dry up and disappear. You need to remove the bandaid after the 24 hours because the lesions start to itch and are uncomfortable. If there are alot of lesions concentrated in one area I use a few drops of cidar vinegar on the Nexcare Tattoo bandaids which are larger but are also completely sealed all around. They also come in fun prints. Apple cidar vingear works really well on all sorts of warts by using the same process. You can also soak hands or feet with warts in cidar vinegar for a half hour per day, and the warts will dry up and disappear. Sounds weird, but it has kept his under control without subjecting him to blistering. Not sure if this will help your daughter as she probably doesn't want to go to school with bandaids all over her neck, but you could try it over christmas vacation or maybe just at night.
Good luck.