K.B.
I assume that private school tuition is not a problem for you, but if it were me, I would check out the public school options before I made that kind of investment. There are some really good "gifted programs" in some of the public schools. I am not really familiar with Allen ISD. My kids are both "gifted" and we have been very happy with the Academy programs in Garland ISD. You can always choose to switch to a private school, if the public school is not meeting her needs.