I'm presuming all voltages were AC.
- By any chance, do you have any overhead high voltage lines (the big towers)? They could be inducing a current without any direct contact.
- Is your water table close to the bottom of the pool? Someone's nearby well pump could be improperly installed.
- Ring voltages on phone lines are on the order of 70V. Ah, here's an interesting page that shows different kinds of ring voltages and their waveforms. If you you can get someone to scope the voltage, you might narrow things down if it isn't the standard 60 Hz sine wave. (And, if it is standard, then you can probably rule out the phone cable.)
- Electrified fences nearby?
- Underground utilities? I meant for the neighborhood. But if you have any buried utilities to your house (electrical, phone, cable, internet), they could be a source.
The fact that it was present when you shut off the power to your house is important. Do you know your neighbors on all sides (including just touching at corners) well enough to ask them if they'd be willing to shut their power off for a minute while you test? I suppose you could have a BBQ in your yard, invite them all over, and then say you'd let them go swimming, but there's this problem, and show them the shock. Then spring the question on them. Even offer a reward if one of them is the source and they fix it.