You'll have to mess with it.
Here's what I do, and a lot of people have a fit about it, but it gets exactly the sound that I want.
I tune the snare-side head about twice as tight as the batter head.
I turn the snares "off" (drop the strainer) then I tighten the snares against the snare head. It gives me the snap of the snares, but they aren't sitting tight/close enough to the snare side head to buzz.
This allows me to tune every drum exactly like I want, and not worry about snare rattle.
I use a pearl snare, and it has a snare adjustment on both sides of the snares...so this may not work for you.
You may simply have to retune the toms a little, or tune the snare so that it's a bit out of the toms range.
You could also try loosening the snares quite a bit...I know I've seen numerous drummers rerally crank their snares down against the head, but in a mic'ed situation, I've never found that necessary, and it usually causes all sorts of excess buzzing..
Tim