According to its web site, BioPRYN® is a non-invasive, quick-response, 97% accurate, embryo-safe, quality-assured pregnancy test for livestock: cattle, sheep,, elk, goats, bison, and deer.
For sheep and goats, the testing fee is $7.50. A 2 ml blood/1 ml serum sample is required. The blood should be collected in the red-top blood collection tube. The sample does not require refrigeration. For the test to be effective, goats must be at least 26 days pregnant; sheep, 22 days.
There are several labs around the country that perform the test. View the map to see where laboratories are located.
Thanks to Kelly Cole for suggesting this link.