Going out on a small limb.
I know sheilding the guts of a guitar with copper foil tape soldered
to the bridge works wonders. Had a friend that I did this and compleately
shield all of the guts and now on the road the noise is much much better even with neon signs nearby.
Electronic ballast my be better in the lights below you.
If the field is purely E field connecting a very good ground #8 awg or bigger
driven into the ground using a seperate 10 foot ground rod then connected to your faraday cage may work. You could use copper or brass window screen
and build a booth kind of like a RF screen room.
If it is magnetic put thin 0.02" steel sheets on the floor to try to
break the magentic path connect this to the seperate ground also.
Try these 3 things for a test.
Cheap first pass test.
connect a good ground fat wire 312 or larger to your electrical panel run it into you tracking room.
get a isloation transformer and compleatly isolate the ground of the guitar amp. Guitar, cable, amp only!!!! not other junk. Use the isolation transformer and be sure to lift the ground completly for these tests.
turn amp up max. guitar up max, wrap gutiar in bubble wrap to protect it.
Wrap guitar compleatly in aluminium foil and ground the foil.
If unit is quiet it is E field "voltage" i.e. electrostatic fields.
So build a copper or brass cage for them to play in.
If not try some smaller sheets of steel grounded to the
grounded. try to shield the guitar with thin steel sheets. Even tin
i.e. air condition duct will work IF a magnet stickes to it.
Try to keep the field below from getting to the guitar.
Place Guitar in bad spot on floor turn amp and guitar up to max.
Repaeat with a shhet of steel below the guitar with the sheet grounded.
If this cures the noise it is magnetic and mu-metal would be best but trade in your car to pay for it.
I assume you may could add a floor with steel electrically connected together and grounded. Then add a new floor for looks.
If it is magnetic the electronic ballasts wll help but they may throw off hash
in the RF spectrum that you other equipment may pick up.
No way to know buy one test with guitar next to it.
A good ballast for TV and Radio will work great I hope.
What ever works go with it and run a seprtate clean ground directly to the earth.
I threw the isolation transformer in there to cover your butt as it may also help. The best kinds are for medical use and have LESS than 1 picofarad
between windings i.e. no noise will get into the ac line of the amp!
Have fun.