sidechained compression with pre-attack-time (reacomp for example).
sidechain from the snare-close-mic, pre-attack to ~1ms, attack 0, short release to kill only the transient but high enough to get no pumping, high ratio (~8:1), threshold set to taste (make sure to adjust it in the mix, not solo-overheads!!!)
pre-attack is really the key here. even the fastest attacks on all comps i've tried aren't fast enough.
if your compressor dosen't have a pre-attack-parameter, copy the snare-close-mic-track, shift it 1ms forward and use this track only to trigger your OH-compressor via sidechain.
and make sure to kill some annoying snare-resonances in the OHs with an eq first, but don't ruin your cymbal-sounds...!