As for microphones that work well for snare drums. The Shure SM57, Audix I5, Shure Beta 57. These are my three go to microphones and of the three the I5 is probably the most robust with the head of the microphone being made of metal and not plastic like the SM57. If you're reading between the lines, they can take a good stick hit or two, lol. In real life they sound very close to one another with the Beta microphone having a bit more edgy upper mid range quality and higher output..
I would also check your mic placement because by placing a cardioid (directional) microphone too close to the snare's head, there could possibly be a proximity effect build-up which will cause the sound to have excess low frequency energy which, in most cases, will give the appearance of less high frequency response or high tone from your drum. If the low EQ control on that channel of your mixer is boosted, back it down a bit and see how it sounds. Try lifting the snare microphone to about two inches with the mic head just over the back hoop of the drum. Now position it or tilt it that it sees the entire surface area of the snare drums batter head.
That's where I start and I then fine tune the position of the microphone from there.
Dennis