Many years ago I worked for a company in Little Rock that specialized in energy efficiency; building management systems, energy recovery, solar, the whole ball of wax.
We did many super efficient homes. The heat pumps were sized at one ton per 1000 sq.ft. and they worked very well. They had small self-contained dehumidifiers residing in oversized return plenums. It seemed to me this was overkill until I got a trouble call one day about high humidity. Heat pump operation was spot on. Finally figured out the dehumidifier had quit working. Replaced the dehumidifier and problem solved.