I was unable to find a Bryson tartan. However, many of us are descended from folks from Antrim County, Ireland. It was a common practice to wear the tartan of your locale. Pictured at the left is the tartan of Antrim County, Ireland. It isn't a popular tartan, but I was able to find a source for it from Linda Clifford. If you find another source, please let me know.
As an alternative to wearing the Antrim County tartan, you can also wear the MacFarlane Clan tartan. The Bryce family was actually a sept of the MacFarlane Clan. For more information on the MacFarlane Clan, see their website.