Before moving to another school a long way away, I'd get more details about their gifted program and what it actually consists of. If it turns out to be no better than what is available where you are, then the change was not very helpful.
Can you talk to some of her teachers for next year and ask if they have plans for differentiation and if so, what it would look like and how often it would occur? If you approach them in such a way that they feel you are trying to work with them by giving them a heads up before the school year starts, maybe some of them would take some time this summer to do some additional planning for her. Or at the very least, some research into how to handle a kid like her. When my DD11 was 9 she was entering 7th grade and sitting in on some 8th grade classes, and I talked with each of the teachers she was going to have about her particular personality traits and what they mean and how she best responds to different situations. Most of them were very grateful for the advanced warnings/info and ended up looking up stuff to better suit her needs over the summer. For example, on the list of her traits (quirks really) is that if she is "in her zone" for learning and challenge she often hums without knowing it. It is usually annoying to her classmates, but she is unaware that she is doing it. The idea that she needs to doodle while sitting in class to keep 3/4 of her brain occupied while extra explanations are being given to classmates is not her being rude, but her trying to not get bored or frustrated. It doesn't mean she is not paying attention, in fact it means she has understood what you are talking about and has moved on to make more connections about the next few things you are going to talk about.
Is it an option if she does part-time school and part-time homeschooling? The year before DD went into 7th/8th grade we did half and half with her going to school for gt English, art and science and being homeschooled in the rest. The reason it was those subjects is because the school was on a block schedule and those were the 6th grade classes with the GT English and that was the class we really wanted her in. It worked out really well because she got the social interactions of being in school but got to learn at her pace at home.
