You are way close to Cameron tx and that's where the Ideal hatchery is. They will let you go there and buy just one of each, however you want to do it.
Edited to say of course they wont be hens but you get to raise them
Try Ideal http://www.ideal-poultry.com/
I know a lady here that breeds her own chickens, but I'm in San Antonio so I may be too far away. Have you tried Craigslist?
Edited to say: I just looked at Craigslist for Austin, and there are a bunch of ppl selling chickens.