By-the-way, the switch at the base of your dash just switches between the tank gauges, it has nothing at all to do with the selector switch...
After 1991 Ford changed to a single fuel tank on the E350 vans and retained the fuel injection..
With fuel injection, due to the pressure required, you will have an access of fuel that needs to be returned to the fuel tank. A carburetor engine does not have a fuel return line.
So, with dual tanks and fuel injection our 1990 & 1991 rigs have a pressure-activated fuel selector switch, rather than electric as found in many other applications. That switch is activated by the pressure of the returning fuel.
This switch controls both the return and supple lines so its rather complicated in what it does.
A frequent problem when this switch stops functioning correctly will be fuel spilling out of a filler from one of the tanks...not a good situation. This occurs when the switch malfunctions returning fuel to the wrong tank, therefore filling it to the point where it can be forced out of the filler/vent.
To replace this switch assembly is costly, but its pretty simple to disassemble and perhaps clean up and get the little valves within it back functioning.

Here in this pictures below you'll see the red-rubberish diaphragm that with pressure activates the valves.....check that carefully for tears or holes

Here in the 3 pictures below you can see the small valves that can become stuck, very possibly from prolonged non-use...


The diaphragm pushes down on the round silver metal disk seen below at right....ANY defect in this diaphragm will cause the selector valve to stop working

