Your difficult child will have to participate in the neuropsychologist evaluation because it involves paper-and-pencil testing that he needs to do (for example, IQ and achievement testing). That's not something that parents can do for their kids.
My recommendations is to call the neuropsychologist and ask how he suggests you get your difficult child to cooperate. Our son was very resistant to doing neuropsychologist testing at age 9, but once we got him in the door (very teary-eyed), the neuropsychologist was kind and gentle and managed to work very well with him.
by the way, we don't give our kids a lot of advance notice of appointments like neuoropsych evaluations -- maybe one to two days before. Why should they (and we) have to live with all that anxiety if you tell them weeks in advance?