You can get away with leaving those frequencies in if you simply bring your lo-pass a little lower than usual. I used to lo-pass at 10-12k, which totally clashed with the shimmer of the overheads and left me no choice but to be quite precise about where I cut from the upper mid-range (usually found around 3k to be particularly nasty and overbearing). But after bringing it down to a more sensible 7-8k, I can leave the upper midrange in tact and have THAT region be where the guitar has its bite and sparkle, leaving plenty of room on top for the more glassier instruments.
I think if you're having to use an awful lot of subtractive EQ then something wasn't quite right to begin with. If you're just doing it as a mix for something that was pre-recorded then there's not a lot you can do, though!