When the fans are triggered by coolant temperature the two front fans should come on slow speed (will already be on if air con is running) and the single fan behind the rad should run at slow speed. The second stage, if the coolant temperature gets higher, involves the fan behind the rad. running at full speed.
The two fans in front of the rad. will only step up to maximum speed if the aircon is on and the refrigerant temperature or pressure increase beyond a certain level.
In any case, the car should not be dependant on the rad fans at 60 MPH. There's plenty of airflow to cool it, even when towing. I think the problem is more likely to be poor coolant circulation (ineffective water pump or radiator perhaps).
Bear in mind that the auto gearbox also dumps heat into the radiator and this will generate more heat when towing, especially when under heavy load in a high gear. Holding it in 3 for uphill portions will be easier on the gearbox and torque converter and also give higher engine revs and thus more flow from the coolant pump. Having said that, mine changes down into 3rd on it's own accord when towing up any significant gradient.
Kevin