Here's why those damned ground probes are stupid, horrible ideas. (Just examples here, people.)
Voltage isn't "a thing that can kill you if you have 120 of them". It's defined as a electrical
difference between two points. That's it. Point A could have a million volts behind it while Point B has the million
and five volts. Measure the difference between the two points and you would see "5V" on your meter.
Let's say a loose wire falls out of your canopy and into the tank. Everything is good as long as you don't give that energy anywhere to go. You stick your hand in the tank. If there is no path through you to complete the circuit, then you would be fine.
Now, stick a ground probe in the tank. Oh look! You've just provided a nice, paved Interstate highway to give all those electrons somewhere to go.
It's the same reason why birds can land on wires and squirrels can run on them. Everything is fine as long as everything is at the same potential.
I used to work on large frame ion lasers. Incoming power was 480 volts, three phase. The tube and the transistor passbank were
water cooled. The power supply rectified that three phase AC power to over 600 volts DC (or "B+" as it was called) at a significant amperage. When you measured voltages on the control cards,
you made 100% sure of your reference point. Some voltages were referenced to Ground, others were to B-. Hooking your black test lead to a Gnd point when your Test Point was referenced to B- would end cause you to have A Very Bad Day. (I never did it, btw.)
So I could buy one of the
GFCI's like this, plug it into the outlet and I'll be good to go?
I was considering paying an electrician to come out and run new wiring because it concerns me that the plug is right behind the sump and there is no protection. Any splash on my part and viola' wet outlet.
You
could, but it's not a good idea because the outlet isn't grounded. Of course, most neutrals and grounds are bonded at the box.
The GFCI only checks the difference between the current going down the hot leg and returning via the neutral. If there is a difference, then it trips. It doesn't care if it's going down the ground wire or through you. It just sees the difference, then stops it by killing the circuit.
Ask your local Home Depot/Big Box gurus (not the "let me find that out for you" types). They may be familiar with how your house was built and could provide input. Alternatively, an experienced electrician might have fixed that issue several times before in your model of home and could provide guidance.