This is where a good DAW is invaluable.

I have noticed this same behavior. The fix for me is to use envelopes in the DAW track to lower the level of the offending note or chord.

Depending on how many places need fixing.... it could be a short process or it could take some time. But the more you practice using this form of editing, the better you get and the faster it goes.

For example, when I use Melodyne to "fix" a track, I literally take it manually note by note and phrase by phrase. I work one phrase at a time. Usually just a line of lyric at a time for the vocals. But I can generally work through an entire track in relatively short order.

I guess it all depends on how good you want the final result to be and how long you're willing to spend to get it to that point.

You can find my music at:
www.herbhartley.com
Add nothing that adds nothing to the music.
You can make excuses or you can make progress but not both.

The magic you are looking for is in the work you are avoiding.