You need prior authorization for psychological testing. Most insurances do not consider psychological or neuropsychological testing medically necessary for ADHD diagnosis (which is why this assessment is usually cash only). Most insurance companies consider that the diagnosis should be made based on patient and collateral interviews, parent or teach rating scales (for children), self-report and collateral rating scales (for adults) and for adults some measure of childhood symptoms (e.g. Vanderbilt) alone. Many insurance companies don't consider IQ testing to be medically necessary even though it can be quite important as part of your ADHD assessment in this era where people think stimulants will increase their capabilities for levels of study they don't have the requisite intelligence for. The coverage exceptions would be for diagnostically complex cases (e.g. pts with TBI, epilepsy, or multiple psychiatric diagnoses). 96136 requires using at least 2 psychological tests so wouldn't apply here anyway.
If you want to use something like that (which I think is totally reasonable), I would just charge the pt cash for that part of the assessment. I usually charge an additional $1000-1500 for my assessments if I am also including evaluation of ADHD.