Splash is something you get from cymbals in your break.
If you're talking about getting your Snare hit 'live' sounding here's a way you can do it.
For this example lets say you are making your snare out of 3 different snare samples to create 1 x processed snare hit.
1st Rule is sound selection - OPEN A MONO CHANNEL FIRST - you need to audition a bunch of snares individually through a spectrum analyser to see what frequency the sounds you like are hitting at. Transpose the hits either up or down in semitones to get your bottom layer of your snare hitting around 180-190hz which is going to give you the weight. Use a curve fade on the end of each snare layer to tidy the sound on the decay and remove any clicks etc.
OPEN A STEREO CHANNEL - The middle layer is the one for getting your drums sounding 'live' or 'splashy' as you put it.
Find a snare with plenty of midrange presence and sizzle with a longer tail around 200hz. Again, tune the hit if needed so its hitting in the right range. Place a small fade on the start of the hit if you dont want the transient of the sound clashing with your bottom layer transient. (only if you need to as sometimes they work together) As this layer is on a stereo track you can have it a litle bit wider in the mix to give it that 'live' sound. Usually done by sending a small amount stereo from your snare channel to your Drums Bus.
OPEN A MONO CHANNEL - This top layer is for adding the 'Crack' element to the snare so with this you are looking for a nice attack'y sounding snare sample to signify the drum stick hitting the drum which i'd probably find a sound that hits around 210hz.
Obviously you need to EQ each hit so it sounds flat across the frequency range and take out as much low end as you need to so that it doesnt lose it s weight and doesnt conflict with the Kick drum - which you need to do by ear.
Experiment with this process. Find the right 'Live' or 'Splashy' sounding snare for the middle layer and place on a stereo channel but keep the other 2 layers mono.