OK SamR, it's very common for folks to mix up DC grounding for static and lightning mitigation, and RF grounding. I think most experienced people will say if you want a DC ground, you can, and should ground your coax shield at the antenna AND run a wire from that point to your utility ground, then, ground the coax shield again as it enters your home, and using another wire, tie that point to the same utility ground. Do not use the coax shield as the "ground wire" from the antenna to the point you enter your home. Here is a very informative video with an engineer and ham who designed ground systems for the utilities: [https://www.youtube.com/watch?v=IJVJjgI2YbM]1
DC grounding however, does very little for RF.
To minimize RF on the coax shield, it is advisable to place ferrite beads on the coax, or wind the coax through a ferrite toroid at or near your radio, since your coax shield does carry extraneous RF since RF doesn't "ground" entirely to your DC bonding system, and every coax will be found to be just the right length to be resonant at several frequencies, and if nothing else, create a noisy environment for your receiver. And ferrite beads, clamps or torroids do nothing for DC static or lightning, only RF that is on the coax shield, they don't even affect the RF currents being carried inside your coax, just those on the outside, that can still cause receiver noise.
If I understood your antenna description correctly, you have a dipole that you are going to configure as a "Sloper"

If this is the case, you do not need a radial field anywhere, and if you have a radial field anywhere around the antenna, you will get unpredictable radiation patterns through asymmetrical reflection and RF current absorption by the radial field, above which just the natural ground would cause. If you have this setup and want to ground the coax, do so at the coax/antenna connection and tie that wire to an appropriate ground rod for your area, and run another wire from that ground rod to your utility ground.
As stated earlier, this will likely have an undetectable affect on anything but the discharge of DC, which is good if you have a dry wind blowing across uninsulated wire, without transformer isolation. And if that's the case, make sure you disconnect your radio on dry wind days since long bare copper wires can build up thousands of DC volts that can fry a receiver's front end.