Accredited labs by the AASM are great, however your list is outdated. Many labs have also gone JAHCO accredited. Many are in the process of being accredited.
Look for a sleep lab that is involved with a board certified sleep specialist listed at the ABSM (american board of sleep medicine) website:
absm.org
and visit the National Sleep foundation site for information and other laboratories in your area:
sleepfoundation.org