Thanks for the response. I'm doing badly at asking these questions.
I tried the hush and filter buttons before. The hush button puts comments that person started on the bottom of the comments. Since a lot of people respond to other people comments, I would still see their comments. For me, the filter button just puts a line through the person's name, but I see their comments if I open a post. Supposedly their comments don't show up in my feed or chatter, but that's not how I find comments. From what I can tell, their comments still show up in the post the same way, just with their name lined-through.
I didn't want to try the mute because I was afraid the person might be notified.