If I were mixing this piece myself, I would push the snare back more, as if it were at the back of the orchestra (which is where it normally is), without MIR, you can do this by rolling the higher frequencies off a little and increasing the reverb depth, that will push it back a little, you'll also want to reduce the level (the snare) slightly (down) as well.
Maybe the piece should have more dynamics, it is very much at one level throughout at the moment,
but these things are a matter of opinion, and doesn't mean your mix is wrong, if your piece was in a cinematic situation, the upfront snare could well give you the tension that this piece maybe trying to create.