It's likely functioning properly. A setting of 6, probably correlates to 40% relative humidity. According to the Owners Manual
Your Aprilaire Automatic Humidifier, is a high precision system that will
accurately maintain the relative humidity in your home to a maximum of
45% RH and a minimum of 10% RH.
If the home is at a higher relative humidity, the unit should not come on.
Almost all thermostats have a FAN switch, that can be set to ON or AUTO. In the AUTO position, the blower comes on when the furnace needs it (during heat/cool calls). In the ON position, the blower will always be on. This is usually controlled by the G terminal on the furnace and thermostat.
I'm not sure exactly what you're trying to do, so I'll cover a couple different setups
Blower on when you want
For this situation, simply connect the G terminal on the thermostat to the G terminal in the furnace. When you want the blower on, set the thermostats FAN setting to ON.
Blower on when house is too warm
If you want the blower to come on when the temperature in the house raises above a set temperature, you'll simply connect the Y terminal of the thermostat to the G terminal in the furnace. This way whenever the thermostat calls for cool, the blower fan will come on.
Depending on the furnace, you may be able to connect the Y terminal on the thermostat to the Y terminal in the furnace, and simply not connect any control wires from the furnace to the A/C unit. Most furnaces activate the blower after a predetermined (possibly programmable) delay, when the thermostat calls for cool.
Blower speed (Multi-speed blower)
Blower speed may vary based on the different functions. For example, heat might be medium low, fan might be low, while cool may be high speed. So you'll want to take that into consideration as well.
Without more information about your specific equipment, and what exactly you're trying to accomplish. It's difficult to provide more accurate, specific information.
Best Answer
The Aprilaire 4040 solenoid assembly appears to be a non-intermittent valve. As long as power is applied, it should be open.
Try thumping the solenoid while it is energized in an attempt to un-stick it. A sharp thump with something not too hard, like a block of lumber or a rubber mallet, might work.
If you have an ohmmeter available, check the coil resistance (disconnect the wires, measure ohms through the coil); should be something like 30 to 400 ohms. If it is infinite (open), replace the solenoid.
The owners manual hints that the solenoid stays energized to be on here (page 6).