Heavy wetter - nighttime

UPDATE: I have now tried a cotton doubler on top of hemp, bamboo on top of hemp, charcoal bamboo on top of hemp and still leaky kiddo. I might be looking into separate covers to go over the pockets diapers.

ORIGINAL POST: Okay, my baby has finally migrated into our one size pocket diapers. We are currently stuffing them with microfiber insert and then a bamboo or charcoal bamboo and even some hemp ones under that. We are hoping to train our baby to sleep through the night and that means dropping the 3-4am feed. Only problem is the diaper is ALWAYS soaked at 3am and then again at 7am. Any recommendation for a heavy wetter overnight cloth diapering?