HI and welcome!
Do YOU think he has a problem? You could have him evaluated by a
Some kids have the eval done by a Psychiatrist, or a Psychologist. I personally prefer a neuropsych, because testing can e done for everything, including comorbids, IQ, etc. IMO pediatricians should not be diagnosing or treating ADHD, because as you said, it crosses a line. A cold or flu is fine, but not ADHD meds. SOme peole however do use a ped,and they also use the checklists for diagnoses....it's a personal choice.
Does your school have a gifted program?
Been there, done that.