I would opt for electrolysis. Not all hairs on the upper lip are of the structure and color that a light-based system can “see”. A skilled electrologist can zero in on all hairs, not matter the color or structure. What kind of laser does American Laser use now? Important to know this.
For the middle upper lip, you may want to get a 5 gram tube of L.M.X. (5% or 4%) to numb this area before you have treatment with either modality.
I vote for electrolysis. I can offer NO recommendations for electrologists in your area. Go see several, get consults and short sample treatments and trust your instincts.
Dee