I typically will have my snare mic up pretty loud when I mix so it's above the OH anyway. The OH bleed only adds a little extra to it but as it's mixed quieter, it doesn't really become and issue. I'll typically HP my OH and use it primarily for cymbal sound. So for the way I process and the sound I want, it isn't really a big issue for me..
If you just want a good snap, you might get some of the body from the OH, and then compress, gate or transient shape the snare mic (or maybe just do this to the top and use the bottom for more body) and add the amount of snap to your drum mix to taste.
Are you doing this whilst all other tracks are playing? If I cut my snare mics from a complete song, the bleed from OH's alone is never near enough to cut into my mix at all. I need some substantial snare mic in there too.