Horns and high sensitivity may be a direction to pursue. Sourcepoint 10 have some snap. I think your current speakers use an AMT which can often roll off smoothly up top, and take away some bite.
I'm a drummer and love Triangle speakers for the way they present drums, however that may be more related to toms and cymbals rather than snare. A speaker with very open, forward, and clear midrange is where you get that fast attack of a snare. Might want to look at studio monitor/HiFi brands like ATC, PMC, or even Revel Be for that type of presentation.