Welcome!
Did the school psychologist have access to the WISC-V results from 2nd grade? Because it seems likely that combining the WISC and WJ results would present a picture of some kind of unaddressed obstacle to learning, such as a learning disability of some kind. The WISC profile alone may also suggest additional insights into the possibility of twice exceptionality. If you feel comfortable with posting the WISC-V results, that might allow for additional input. If you'd prefer not to post it publicly, feel free to pm me.
Since both the cognitive and achievement portions of her testing are fairly recent, you may already have sufficient data to explore learning difference questions.
In the event that additional evaluation seems called for, the kind of clinicians you are looking for would typically be school psychologists (you have one in your school, and s/he might be able to identify your daughter's needs; this also costs you nothing beyond what you already pay in taxes for public school), neuropsychologists (typically available in private or hospital-associated clinics, through private pay or, sometimes, primary-care physician referral; going rates vary, but start from about $2000 and head north of $6000), and clinical psychologists (similar in venue and cost to neuropsychs, but may be less specialized for learning disorders). While many families find the school psych in their community school sufficient (full disclosure, I am one), sometimes low-incidence learners, such as the twice exceptional, find a neuropsych to be a better fit.
In your case, you may be able to reduce the cost of going outside your school by having a neuropsych review the existing testing, and keep additional testing to supplementary instruments. My bias (for obvious reasons) is usually to start with the school, but if you don't feel that this route is productive at the moment, then the next step may very well be a neuropsych consult to review existing data.