After thinking about what the original poster said about check valves, it occured to me that by using them instead of the ball valves I used, the system could be very simple and reliable.
It would also eliminate having to get under the truck to throw the valves. the DPDT switch could be mounted in the cab and a flip of the switch would change over to the new backup pump and automatically start the flow in that pump's system. The pressure from the active pump would force the second valve shut and direct the flow to the engine, and by switching over the new pump would do the same all automatically.
I wish I had thought of that when I did my conversion to the dual pumps, I like it even better than what I came up with. Less parts and a much easier switch-over even while driving. Genius RCrosby and firefighter.
The only issue is finding a reliable and tight-sealing check valve to use, maybe a plumbing-type flap valve?
Here is one possible schematic that I think would work, please forgive the image quality but I think you can get the idea from this. Is there any reason that this would not work?