If you've check and cleaned the float , take a look at the gasket on the door . See if it has hard water build up , or maybe a tear somewhere . Mine was doing the same ( different brand ) after I used vinegar on a rag to wipe down the door gasket it stopped .And the dishwasher needs a towel under the door when running since the door leaks.
Are you talking about a deli drawer ? If so they have an issue of the evap drain freezing up , and dumping the water under the deli drawer . It freezes and the ice build up keeps the deli drawer from opening .The fridge doesn't have an ice maker, but the bottom drawer is supporting the two drawers above it. The bottom drawer can't be opened.
They sell an extended tab to go on the heater , and into the drain tube . Thing is you have to get it all thawed to install it .
