My ice maker is letting too much water go into the ice tray so it freezes in a solid piece. Cubes do fall down but there is so much water it freezes into a solid block

Another potential issue that I have found is that you may have very strong water pressure coming into the fridge, which might make the water jump and splash out of the tray. Perhaps turning down the water pressure somehow might be an easy (and cheap) solution?

Is there frost buildup or the trigger obstructed?

there s a adjustment but it only controls /like 1 to 2 oz of water . its prbably the ice mker unit or the water valve . .. ice mker tell water how long to let water in and if valve is bak it might not shop off causing water fill . change water valve first . then ice maker if needed .. icemker might have a bad tray and some cubes do not drop / if so next fill will over fill causing problem . mm

remove cube tray from ice maker. clean with limeaway adn rinse. Spray with a light coating of PAM cooking spray. wipe dry and reinstall. be careful not to damage the sensor ( in center of tray)

you will need a new icemaker the mold is not releasing the cubes

sounds as though you freezer either isnt cold enough or the cubes havnt got enough freeze time before harvest

The only thing I can offer is to limit the out put of the machine closer to what your needs are.Or bag the ice and store in a freezer. The ice pushing down while melting is what is causing the BIG FREEZE. The bin for storage may be too big for your needs, at least at the time you write this. When the demand goes up (warmer weather) the ice would be used more and the pressure pushing down will alternate as well as people getting scoops out more often this will help prevent such a freeze up in warmer weather. 

can be worn gaskets...clogged pipes or coolant leakage.
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Depending on the ice maker style, they typically work off a motor timer. The timer motor rotates to set up the ice making process... starting with letting water into an empty ice mold tray, allowing ample time for that water to freeze and then to rotate that mold so that the cubes fall out into the bin. In conjunction with that process, a small heater is turned on to release the frozen cubes from the tray. The 'ice tray full' lever signals the system to stop making ice so you may want to verify that the lever is down and not causing the ice maker to stop, If that's down then I suggest you monitor the position of the motor gearset underneath an access cover. With power applied, the gears should rotate and cycle thru an ice making process. If it does and ice fails to fall out, your heater may be defective. Hope that helps...