I installed and attic blower vent to transfer wood stove heat and used a dual thermostat system. These thermostats can be wired for either a heat cycle or cool cycle in conjunction with the blower fan. They were the least expensive and are very good quality.
First one broke on installation. Prompt trouble free replacement! The on off temperature spread is a bit more than I had hoped, but there are few alternatives out there for line voltage thermostats for A/C. Used to replace RV A/C.