@MikeToll If your cold water tank and C/H header (aka F&E) are at the same level, and the latter is smaller which is what you're telling us (see left hand side of diag below), a pin hole in the coil would result in the water level in the C/H header being raised to the point it overflows. I'm pretty sure you'd have noticed the water level being right up to the overflow pipe in the C/H header AND/OR water dripping out the overflow outside for that tank. So, it seems doubtful you have the pin hole issue, and there is little point in adding dye to the C/H header in your case anyway.
Had your C/H header been ABOVE the level of the cold water tank (right hand side of my diag) dye in the C/H header would be useful in proving a pin-hole because the dye would work its way into your hot water circuit.
To keep things simple, there are only three circuits the water can be leaking out in your particular case, so it would be a good and positive step to at least work out which of the three it is.
1. Mains cold
2. Hot (and low pressure cold for bath taps)
3. Central heating pipe work (rads, interconnecting pipes etc.)
So I would do the following in your position:
Tie up BOTH float valves in your cold water tank and C/H header so they can't operate. If your meter is still going around, you have proven within a couple of minutes that the fault is in mains cold. If your meter stops going around, release the cold water tank ball valve, and put a marker in the C/H header tank at the current water level - and just leave it for a few hours and see if the water level has dropped. If it has, the fault is your central heating somewhere. If it hasn't, it must be in your hot water (and low pressure cold for baths) circuit.
Finally, a random thought on hidden leaks which I don't think has been suggested yet. We have a twin impeller power shower pump (tank fed from hot and cold tanks) and that goes to a flush fitting thermostatic mixer within our en-suite bathroom wall. If either of the input unions were leaking, I would know about it as the valve is fully accessible from behind in our case. But I have come across some cases where they are not - and that might give rise to a hidden leak within a wall.
Also, if you have a bath, are the taps against an outside wall? If so, a leak from a bath tap union might see water running down the pipe and into the wall cavity rather than dripping onto the ceiling below.