Trillium!!!! THe Structure of Intellect test kept my son out of our gifted program as well!!! I found no other district using the test. You're correct. It was three 5-minute tests. DS, then in 2nd grade, did score very/high gifted in math on that subtest but average on their other 2 subtests of creativity so he was denied entrance.
My suggestion would be to be sure you know what you are fighting for. Some programs may not be a good fit for your DD and not worth the fight. I see yours is a full-day gifted program so it may very well be worth a good fight. Ours was a pull-out program while having some good projects, had a huge research project to be done and worth most of the grade. All of this is done on the student's own time and student still has to complete all classwork which is not differentiated. So in my view, it wasn't worth fighting even though I had WISCIV scores etc. I am now HSing so it was a mute point anyhow.
But I know a friend who did fight and get her son into the program and she didn't even have any outside scores.
Can the psych who administered the WISCIV write a letter saying that DD needs to be in this program and how it would benefit her?