I was thinking you need a inverted Karaoke filter :)
I record a lot of live bands and #1 in the tool box is use a Shure 58 or Beta 58. There are other similar mikes too, but these are great at taking out the bleed at the source. You can also eat them and scream at them with out distortion.
And if your hearing a lot of bass than that was a bad job of EQ to begin with. Always hi pass the vocal mikes. I go as high as a 175 hz cut off on live vocals if I have the option. If there's only the 80hz button I use that and cut the low EQ to 10 o clock. Let the Bass, Keys and Kick cover those frequencies, not the singer.
The small amount of bleed I get is just part of the live sound and is actually important for that reason. That's what makes it sound live. I like that myself.
Sometimes you get a bit of phasing with loud crash and rides.
And yes lay out the performers and Backline so it avoids pointing at the vocal mike. You can also try gates on Back ups singer mikes so they shut off automatically. But only if the band is not a real loud. Like country or folk. Won't work with rock and roll.
There's a foot switch you can buy that allows Back up singers to only turn on their mike when they step up to sing.