You mean intersample peaks? If you're getting this it's because you're trying to be too hot and too bright at the same time. You can get bright, but there's a limit to how much you can cram into PCM audio.
You should also know that the guys doing your original request of going out to an analog chain and doing EQ and some of the gain boost before resampling are going to avoid this problem, because if you're not clobbering the signal with limiting AFTER resampling, a correctly designed ADC will already eliminate slew angles that would cause intersample 'overs'. That's because that type of distortion is 'illegal' content for PCM audio.
Interestingly, you can take it and go to DSD quite happily with no problem from any combination of samples in PCM format, and I've been working on the problem of going from DSD to PCM and back (at least in theory- got no DSD authoring *snif*) But you can't take just any samples and put them on, say, a CD. As you've discovered.
...do I really need to add that I deal with this stuff when it comes up?