Only running 2-minutes at a time isn't very efficient and won't remove much of any moisture. It also sounds like the a/c may be over-sized. If you still live there when it needs to be replaced, you may find a two stage system may work better and on low, it might be more closely matched to the needs when the thermostat is at 85. Some of those can use the smaller compressor, or the larger one, or both to give you three levels of cooling capability to match the load. The most comfortable and best at removing moisture is when it runs constantly, but this only happens when the load is matched to the weather conditions.
Not up on thermostats that have a user settable differential or if they are actually available.