More money than I have to put into a set of wheels.
If it's just a daily driver, typical service is to only change bad ones, I've seen Ford COP units last over 200k miles, never a full set, especially a set of 8.
Point is, why put out money on something that's not going to improve things if it doesn't correct the issue. Plugs at that milage surely need changed as they've exceeded the 100k mile tune-up interval that the motorcraft platinum plugs call for. New plugs would make an improvment whether they fix the shaking or not.
I would possibly pick up a coil when getting the plugs, and if changing the plugs doesn't smooth it out, then test the new coil on each cylinder and rate it for better or same by the rate of shakes in 10 seconds or a minute or whatever.
It's impossible to diagnose a car over the internet, one persons shake is another persons shimmy. If it were my money, I'd go one step at a time to save on money, plugs first, coil or two if needed. I would not change all coils on a whim.
If the plugs are changed, and a new coil or two makes no difference on any combination of cylinders, then it's time to start looking towards something else like the EGR I mentioned earlier.
I'd be willing to bet some money at odds that the plugs will cure it.