The high WIAT scores would also support their assertion that there's no problem. I'd probably advocate for entry into the gifted program using this NAGC position statement.

http://www.nagc.org/index.aspx?id=2455
Quote
The Verbal Comprehension Index (VCI) and the Perceptual Reasoning Index (PRI) are also independently appropriate for selection to programs for the gifted, especially for culturally diverse, bilingual, twice exceptional students or visual-spatial learners. It is important that a good match be made between the strengths of the child and the attributes of the program. Students who have special learning needs should be admitted to gifted programs, provided that there are other indications of giftedness and instructional modifications are made to fit the needs of the students.
Even though she doesn't have NLD, maybe some of the visual spatial modifications would help:
Rely heavily on the student's verbal and analytic strengths
Model verbal mediation of nonverbal information while teaching the learner how to use this strength
Simple layouts on assignments/test
Use graph paper to organize work
Check for understanding
Make directions/expectations clear and simple
Verbally teach (talk self through tasks)