You'reright, 1600sf is a big pour. It's way beyond wheelbarrows, at least Georgia Buggys and prefferably a Kel Truck or bobcat with a concrete bucket.
Add in your PEX, and you will definitely be needing a plywood path on top of the mesh just to support your transport situation. PEX is fairly tough, but I still recommend the tube system be pressurized with air during the pour so any problems will be evident before the concrete cures.
BTW, I sure hope you have an insulation layer and frost apron calculated into this plan, or you'll be wasting a lot of heat.
You will also need somebody with a sharp eye watching the pour just to make sure the mesh is being pulled up as the pour progresses. 1600sf ain't an amature day with free beer situation. I suggest you read Don Soloman's thread on p[ouring and finishing I mentioned in the other thread.