yes,, your right a CRO, (cathode ray oscilloscpoe) would be able to tell you alot.
it does sound like you have a combinations of problems, each taking your systems to the edge of failure, or over.
poor earthing,
high indused Voltages from the power lines
strong magnetic fields at your location.
possibility of large spiks or dips on your local power system.
possiblity that the high power feeder is inducing power spikes into your local ac power grid ?
i don't know if you are using "earth leakage circuit breakers" on your appliances, do they trip ?
if your getting 5 amps "ground loop" current. is this leakage current, or is your electrician simply reading the current flowing in the Earth side of your power system.
its your electricity power system 3 wire, (like here in australia), we have an
Active
Neutral
Earth
at the power box, there is usually a short circuit link between the Earth and neutral. power to your appliance is supplied between Active and Neutral, with the Earth as a safety,
this means current flows between active and neutral, if any current flows into the earth, its a fault and the Earth leakage breaker will trip.
IF your neutral or Earth line has measuragel AC voltage on it, this means your Earth is not effective, and will also mean your equipment will be at an AC voltage and not and zero volts.
this causes problems with you interfact equipment together over a dispance, (you get Earth current loops flowing), this would (and often does) cause equipment to fail, shutdown, or possibly give small "shocks" if touched.
see if you can divide your businesses power distribution into separate supplies for sensitive equipment, and another supply for higher power, and swited equipment, like AC system, lighting etc.
then on the supply for your computers/phone etc, you can install power line filters, isolation transformers, or a stand alone UPS, or constantly online UPS, so your computers are always powered by the UPS, this will isolate your systems from the power circuits, as much as possible.
reduce long cable runs, if you run a lot of fluro's you might need to consider some Power Factor correction capacitors in your system as well.
Power factor is when the current and voltage of the AC power are not in phase, due to running a lot of inductive loads, (like fluro's). and can cause problems as well.
when trying to solve problems like this, its important (IMO) to sort out what are "effects" and what are "causes". you need to try to focus on and fix the "cuases" of the problem, and not the "effects". otherwise you never really cure the underlying problem.
hopefully you are getting a handle on it, these are certainly a complex issues to resolve,