In doing some research I came across this interesting, if technical, article concerning how a thorough avian exam should be carried out. It includes various methods of restraint, blood drawing, visual inspection, tests, and test results. I found this to be quite informative.
http://www.michvma.org/documents/MVC%20Proceedings%202008/Welle%203.pdf
http://www.michvma.org/documents/MVC%20Proceedings%202008/Welle%203.pdf