I looked at the Leupold chart and assuming the Burris 3x9 is simular to a Leupold 3x9....which they are,
it suggests you use low rings. This site will help you figure out what to use.Even if using different brands, if you can find a simular Leupold scope it can be used as a guide.
http://www2.leupold.com/resources/MountFitChart/default.asp