Well, there's so many variables. But let's see...what kind of snare drum are you using? How is it tuned? Do you muffle it or let it sing? All these things add up and radically effect the sound of the end result. For a long time I was using an old wooden Slingerland snare from the mid to late 50's and as much as I liked the sound, it never really recorded very well. It wasn't until I found an early 70's Roger's Dyna-sonic that I achieved (live) the sound I was looking for and it also records extremely well. That being said, I've often been surprised at the vast difference between a drum's live sound and how it sounds recorded. Also, we were recording in a studio with an engineer and tens of thousands of dollars in compression/eq and the like. But with a good snare and some decent mic's, a well tuned snare should record pretty well. In the end, you must experiement and see what works with what you got. Below are the mics and basic posiitions we used for the kit on Goldwing.
Glynn Johns' technique! Three Mic's for the kit:
Soundeluxe FET47 - in front of the kick
A pair of Beyer M160s - equidistant from the snare. one overhead and one pointing across the toms toward the snare.