You don’t have to bury wire, use the apron method. It’s a standard way to keep dogs from digging out of a kennel or predators from digging under a wall or fence. Just lay a piece of wire, 12” to 18” wide, horizontal at the bottom of the fence or wall and attach it to the bottom of the fence/wall so nothing can squeeze through. You don’t have to bury it, just weigh it down so it’s flat. In most places grass will soon grow through it and hold it down but I’m not sure about that for you on the dry side. You can bury it a couple of inches to keep it flat and out of the way of weed whackers or lawn mowers. The idea is that the predator goes up to the fence, starts digging, hits the wire, and does not know to back up. It’s pretty effective. And it is a lot easier than burying wire straight down.
I don’t know what the ground is like, rocky or hard, or how deep you plan on setting those cinder blocks. In many cases they will be a decent deterrent to raccoons or foxes trying to dig underneath, but why would the cinder blocks be any better than a treated 4x6 foundation? It’s about the same distance for them to dig under. I don’t know what your predator pressure is or your risk tolerance, but I’d probably be OK not using an apron on either of those for the coop where I am, but putting an apron really makes it more secure. I’ve had what I’m pretty sure were coyotes try to dig into my run, not the coop section, and the apron stopped them dead. It’s a personal decision based on your risk tolerance as to how much money and effort you want to spend for whatever degree of safety you provide.
I understand you are on the dry side of the Sierras but anything that touches the ground needs to not rot. Cinder blocks will be tremendous for that but you have other options. I used treated wood. If you are using the Deep Litter Method, that stuff will build up on your coop floor and will have microbes in it eating the poop and litter if you use the true DLM. That means it needs enough moisture keep those microbes alive. Those same microbes will also eat any wood it comes in contact with though treated wood or some paints will really help preserve that wood. I don’t consider what I do a true deep litter method since it stays too dry for that stuff to break down very much but my foundation is still treated wood for as deep as that litter gets.