Here is why I said the last option. Not everyone quotes. Take me for example. I use ps3 browser which has limited character usage. It's a pain trying to make large posts without using spoiler boxes all the time. Posts that are extremely long doesn't get quoted by me because cutting text is annoying. So, I usually type @so-n-so That way the person knows it was directed at them. I know wut you mean by searching ONLY quoted responses, but not everyone is going to quote you. If 10 people respond, 10 people won't be quoting. If you use a pc to access forum you could try this.
Click view your posts, open 1 of them in a new tab, use that one to see all your posts. Keep both tabs open, switching bk and forth to see if anything new was posted and click that post but put in tab #3.
I know it's a pain but you could also see all your posts and just right click each and close if it has nothing new.