** [GE fridge] water falls to the bottom of the freezer and clogs up the drainage hole on the bottom and that in turn makes water eventually leak out of the freezer. **

There are only 2 places a considerable amount of water can come from in the freezer, the icemaker’s supply or defrost water drain. My guess is that it is the defrost water drain that is plugged and it eventually backs up to be noticeable (which could very well take a couple of days).

You can read about what may need to be done to correct such a condition on several different makes and designs of refrigerators at the following link:

My fridge is leaking water, what might the problem be?
LINK > http://www.appliance411.com/links/jump.cgi?ID=783

Dan O.
The Appliance Information Site