When you say the line is plugged up, what was it plugged up with? The Evaporator coil looks real dirty in the pictures. I would suggest starting at the coil, and clean is with a commercial type of coil cleaner. Then comb the fins, and rinse the evaporator off real good. You could install a low voltage high water alarm in the pan, or a turtle type moisture detector under it for piece of mind, after you get it good and clean. I did some work on A/C's many years ago in Florida, and it was not uncommon to have 100 degree days with 95 percent humidify, as you already know, so allot of water is generated from these coils.