Unloader valve in the pressure switch doesn't sound right to me. You need to unload the pressure on the top of the cylinders. The ones I've worked on just unload into the atmosphere
Normally, the pressure switch has a valve mounted on it. When the switch opens, shutting off the motor, it depresses a valve plunger. The valve is usually connected to a tube running to the compressor head, or if not the head, it is connected to a fitting on the side of the check valve that is screwed into the tank. In either case it is effectively plumbed into the same place, as it vents off the pressure on the head and down the pipe to the check valve, when it shuts off.
If you don't have a fitting on the head, follow the large line from the head down to the tank. The fitting where it goes in the tank is a check valve, that retains the pressure in the tank. These usually have a small 1/8" pipe thread port on the side of them, outside of the check valve, and the tube from the pressure switch is connected to this port. Possibly it is there, but plugged off.
If this is a two stage pump, there should be an over pressure relief screwed into the head or plumbing between heads, that provides a safety pop off of the pressure between the large (low pressure) cylinder and the small (high pressure) cylinder. In addition, there should be a pressure relief screwed into the tank, to vent off pressure in the case of the pressure switch sticking and over pressurizing the tank. Both of these pressure relief valves will probably have a small round "key ring" attached to them to allow you to manually open the valve.
Many larger, more expensive, quality compressors, such as the G-D, Quincy, Saylor-Beale, Curtis, will have centrifugal unloaders. These have a housing on the end of the crankcase opposite the pulley, with a centrifugally operated valve inside, with a small tube running to the head or check valve. These stay open at low speed and close when the pump comes up to running speed. When the pump stops turning, the flyweights open a valve and blow off the head pressure. Many of these are connected to tank drain valves that, the pressure the valve blows off, operates another valve that drains water off the tank, momentarily, each time the compressor shuts down.
Charles
Tank check valve with unloader port in the side of it.
https://www.surpluscenter.com/item.asp?UID=2009043019392545&item=4-1769&catname=air
Follow the small copper line that runs from the end of the crankshaft at the red tag, and turns down to the tank. This is a centrifugal unloader, with the valve in the pump end, and the line connecting to the check valve at the tank, where the large line from the head connects.
Note on this one, the centrifugal unloader on the end of the pump housing connects to a fitting on the head on this unit. Note on the top of the interstage heat exchanger/cooler on the right, the interstage pressure relief valve.