Scott,
A single ground rod driven 5' down, on average, will end up with around 110 ohm resistance to true earth. That same rod driven just 5 more feet, will yield about 65 ohm resistance. (this is why i stated before a 10' rod minimum) If you are lucky to live someplace where you have a well for example, the galvanized casing extending below 50 foot will yield a true resistance of around 5 ohm, and that's about as low as it gets until you get to a real deep earth ground over 100 feet deep. Having said that you can now see that a single shallow ground rod, in most cases doesn't provide adequate protection for towers and shacks. Most lightning protection company's will always provide multiple paths (ground rods) for protection. Usually at opposite ends or all 4 corners of the structure.
Now comes the issue of bonding in your home to meet code. Bonding to ground is used to protect you, as a consumer, from being electrocuted by your appliances. If the neutral fails, grounding is provided as an alternate path for the AC, and provides an extra measure of protection to you. But bonding is not to keep you safe from lightning. You should never have multiple ground bonds on your service entrance for ground loop reasons. Most new construction doesn't allow you to gain access to the service entrance grounding rod, but if you can, then you add additional rods extending from it as long as they all bond at the same point at the service entrance. Also notice, that code is abiguous on the condition of multiple ground rods for the purpose of bonding. They are pretty clear on the first, but the second rod I guess, they assume follows the same as the 1st.
Your ham tower and equipment are a story all together different, and one of the most crucial of all, since you have this magic lightning rod hangin out there with the presense of your tower/antenna mast. A single rod is not considered enough to protect from lightning for the reasons of resistance stated above. Once the initial strike is forming, it will certainly seek another path of smaller resistance, and that can be through anything, including your equipment via the neutral, since it's not protected by breakers, and grounded at every OG&E pole. Knowing one rod, driven down a few feet, isn't enough, you add more rods and bring them all to a common connection point to the tower/shack. Whether chained, or triangulated, the point in which you connect all the stuff should be a one point to help prevent ground loops. How many do I think should be used? No less than 2, and 3 isn't a bad idea. Space them at least 8~10 feet apart and use a minimum of 6 guage copper to connect them all.
If you are using the earth for VLF operations and using earth as a ground plane, then I would use plate material rather than rods.