CPVC has a higher temperature rating than regular PVC. It's recommended use is for hot and cold water lines inside a house. PVC won't work for hot water lines.
CPVC and regular PVC are rigid pipes and can be rather brittle and susceptible to damage with direct burial. Look for CPVC with a NSF-pw rating (I think that's National Sanitation Foundation, potable water. Cheaper gray color cpvc is not for potable water) If the ground shifts or the pipe gets poked with a shovel, it may splinter and burst more easily. A big drawback is it comes in 10 foot lengths, your going to need a bunch of couplings glued underground and buried for that distance.
Consider polyethelene (I think it's called Polyethelene, black color, flexible). I think that's the pipe underground sprinkler guys use. Find a Tractor Supply Store or plumbing supply house and buy a roll of the PE. I think it comes in at least 100 foot lengths. Well companies use it and it's alot cheaper than copper. Get the proper couplings and your in business.
I don't know the volume your after, but probably 1" line for that distance. You'll get some pressure loss.
Just a thought, maybe you could hire an underground sprinkler guy to come out and run one pipe from here to there with his trencher. I'm not sure how deep you need, if freezing is a danger in your part of TX, or if you need water to the barn year round.
Hope this helps some.
InspectorMark