I try to avoid specific discussions regarding drum tuning, since there are way too many variables and opinions regarding what sounds "good" - but I can offer a few suggestions regarding snare buzz. Normally a combination of 1 & 2 will work - use 3 and/or 4 as last options.
There can be several reasons for snare buzz, but the most common are poor tuning of the snare or sympathetic tone from a tom (or often from the bass guitar).
1. Detune the lugs on the bottom head on each side of the snare basket (total of 4 lugs). You may need to tighten the other lugs slightly to compensate
2. If the mounted tom is causing a sympathetic buzz (caused by the same basic tone frequency), attempt to adjust the tuning of the tom - to get it away from the snare frequency
3. If the tom is causing a buzz, hang a towel (or other dense fabric) between the tom and the snare to absorb the sympathetic tone from the tom
4. It may also be possible to place some tissue paper (or other thin material) between the snares and the bottom head (naturally not through the entire width of the snare) - of all the options this is my least favorite, but it can work.