** water finally forms a huge block of ice after a while. **
Forms a "[huge] block" where? In the icemaker's ice mold, in the ice bucket??
If excess water is filling the icemaker cube tray (mold) possibly to the point of overflowing, there may be a problem with the water valve or the water pressure to it.
You can read about the water valves used on appliances at the following link: