I dont have any ideas about the cause, but is the leak coming from the drainpan? Not everyone knows this exists, but frost free freezers and fridges drip into a pan near the compressor. This is usually located in the back of the fridge, so you'd have to pull it out to look.
The liquid is normally evaporated by the evaporator fan, which makes room in the pan for additional condensate.
Is the evaporator fan broken? That would be an easy fix! Is the drain pan out of place, or cracked? That could explain why collected water isnt staying put. The bad scenario is if theres so much condensate coming out of the drain that the evaporator cant keep up.