DEXA... maybe local university is running studies, always looking for subjects, LSU was doing free DEXA scans for a couple years.
Other than that, somebody who knows what they are doing with calipers can be accurate, more so than the popular BIA machines which vary based on hydration levels in body. Your best bet, see if local universities are conducting any studies, if not, find a trainer who knows how to use skinfold calipers correctly, dont settle for BIA