I would have tried scoping out the snare at 1-2kHz.
I'm against a ton of compression on single tracks. I like to do most of my compression to sub mixes and busses. It's like gluing it all together a little at a time until it's as steady as a rock.
I only use compression on individual tracks when it's something that needs to be tamed like vocals or live recorded guitar. Maybe a little on the snare or a limiter on a kick. But most of the compression I do is on groups.
Macbook Pro i7, Digi 002R, JBL LSR4328, CL7602 mic pre, SM7b, GT66, ProTools 10, Reason 5.