We used to have an AM--daytimer on 630/ 230' tower. Everytime we took a zap from lightning it came down the power line--despite having the gas-type supressors (which you can't get no more--they had a small amount of radioactive material in them). Though each time the damage was very minor--tripped breakers, blown power supply in the Moseley 1600 remote control.
At our one FM we ran a 2-ought (if memory serves me) from the power pole 300 feet to the tower. Separately from the 3 wire 220 power feed. Baffled an electrician installing our generator a month ago, but the reason was that the tower was a better ground than the electrical ground at the pole. We didn't want any EMP induced into the 220. This was tied to the tower, then strap into the building. Worked fine until this summer. This summer we started loosing suppressors, had breakers trip, etc. Finally discovered that a tower crew had cut the cable off at the tower, and the stub worked it's way underground so we didn't spot it immediately.
Looks like you have the makings of a nice winter project. At the transmitter, I would ground the coaxes as close to the entry point as possible (though you can't do that with the sample lines without throwing off the monitoring system), tie the racks all together with copper strap (scrape the paint off the rack, drill a hole or two through the strap & use the screws holding the rack together to tie down the strap); as well as tie strap to the ground point in the transmitter and phasor, then tie all the straps together at whatever passes for a ground system or screen if the tower base is close.
Surge supressors in the panel box (they install right in the knock-out holes--available from your local electrical supllier) as well as the plug-in ones you can get at the local hardware store for anything with IC's in it (remote control, processor, STL receiver). If you have any of the modern digital audio processors I would put it on the ups if it isn't already.
At the studio, I would install surge supressors in the entry box. The polyphaser or similar pass-through for any coaxial cables coming in, or at least the grounding blocks for "F" connectors for things like satellite or TV cable.
Strap or some kind of grounding to tie racks together. Old RG 8 with copper braid is great source of a rugged copper braid for tying racks, other stuff to ground points using hose clamps, racks screws, etc. Just did that today in fact for a new rack I am putting into our engineering/junk room (more of the latter than the former recently). Used the braid to tie the rack to electrical conduit & to incoming RG-6 from the satellite, as well as RPU/ EAS receivers coax feeds.
Also buy one of those electrical testors to see if grounded outlets are really grounded. As well as making sure that equipment with 3 wire ground ac cords still have the ground connected. At one station I worked at, we bought a competitor and inherited cart machines (audocords) with the ground pin removed as an "improvement," (they ran a separate #18 wire to a ground bus). Unfortunately, the power supply used a center tap ground on the power transformer which was left floating if the power cord didn't have this 3rd wire ground. Those machines liked to bite if you were not careful.
A lot of mischief was created by the folks at the old Auditronics corp. The Grandson manual had some strange ideas for grounding that could be darn near fatal. Having everything tied to a good ground is a starting point before trying to run down hums and buzzes. (Copiers!- at one station we had an intermittant buzz that was tracked down to a copier with a heater that switched on and off in idle mode. A simple fix was to solder a pair of 250 volt MOV's across the lugs of a replacement power plug, tape it up real good, and stick it into the outlet just above where the copier was plugged in. A wiser fix, in retrospect, would be one of those plug-in MOV's from The Shack.)
Have fun.