What kind of unit inside, gas or electric? Can the blower speed be reduced especially if on high during cool. High speed is the usual speed for cool. Turn it down from hi to med-hi. This will make the air slightly warmer and less velocity (not as powerful coming out of the registers) while running longer and thus dehumidifying the home in the process which at this time is your only concern I'm assuming..
Unless you are made of money I'd try that first, then a whole home dehumidifer or even a combination of both.