For a short illustration of using the MIXED procedure to do MANOVA, see
http://blogs.sas.com/content/sastraining/2011/02/02/the-punchline-manova-or-a-mixed-model/
The column compares GLM and MIXED, and also notes the use of a mixture of distributions in GLIMMIX like @SteveDenham suggested, which would be very handy if different traits followed different distributions.
Edit: You can certainly use GLIMMIX for data that follow a normal distribution.
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