Sounds like it could be the refrigeration coil iced up.
High humidity areas require the AC to cycle (shut off for a while) to prevent ice clogging the coil and shutting off air flow.
One thing to check is the ice sensor (if you have one) that is located at the end of a wire stuck in the coil heat transfer fins. If it has fallen out, you can ice up until the compressor overheats and shuts off.
The solution is prevention.
I use the "set the thermostat to 10 degrees below outside air temperature - max 90 degrees" technique to allow cycling in high humidity areas.
Setting the thermostat colder will not make it work better. In fact it can cause just the opposite effect for the reason stated.
Let the compressor cool by shutting it off completely and letting the ice melt. Go on the roof and check your drains (in the floor pan of the unit) by removing the cover (back section).
Once all ice has cleared (drop the filter - it is clean right?), and examine the coil face for "ice free" and the sensor in place). Set the thermostat as I stated (10 degrees below outside) and start the AC again.
If it blows cold, you win and have not burned up your compressor.