Thanks for all the replies. AjarnV, that's what my coworkers said to do, too, except they suggested a 12-gauge. Only problem is armadillos are nocturnal, and there's no one there at night to watch for them. MrArboc (dig your avatar!) I like that idea, but it's a pretty big garden, and a perimeter of even a cheap chile powder would be prohibitively expensive. Trinicoolieboy, we eat armadillos here in Louisiana, too, usually barbecued. I reckon I could set a trap out, but I'm certain there would be more...Our yard is in a rural wooded area where armadillos are abundant.
It looks like a hog-wire fence, with the bottom edge buried a foot in the ground is the way to go. The only other thing I can think of is an electric fence, but that would be about the same amount of trouble and expense. Again, thanks so much for your help. I've got 72 plants in containers ready to go in the ground, but now it looks like they will have to wait until I get a fence put in...