Wow, I may be off base here since I haven't been around as long as many of you...but it seems like the real question was how any chapter would deal with a problem member who was representing the chapter poorly, in this case through public, promiscuous behavior. Trishelle just happened to be the one currently on TV behaving that way AND happened to be greek at one point AND also happened to be a former member of Chi Omega (and obviously not representative of the org. as a whole). Seems like the person asking the question was just asking a question and didn't know it had to be worded in such a way to not get labeled as one of the you-know-who's...
Maybe it's just me, but it could've as easily been, "Since y'all work in nuclear power plants, how would you deal with a worker that acts like Homer Simpson?", if this was a nuclear power plant workers' board and all.
Anyhow, I hope I didn't offend anyone. I understand THEY caused a ton of problems before, but I don't see how attacking someone with a question and trying to keep from talking about it if it even seems to be a remote possibility that the poster is one of THEM helps at all. I mean, if we're refusing to answer legitimate questions - even if they're not worded in the most sensitive way - and jumping on new posters who know nothing of what happened before...isn't that the kind of trouble you-know-who would've loved to see happen in the first place?
And to answer the original question as I've interpreted it - I was the VP of standards for my chapter, and that's what our standards board dealt with all the time. If someone wasn't representing the chapter well, one of us would talk to them. Sometimes people didn't know how what they were doing looked, and that was all it took. If the problem continued, we'd call them in and talk to them as a board, if for no other reason than concern for their well-being. You *can* take further action if they are consistently bringing down the chapter image to the point where it's a serious problem, but we never had anything get that bad. No matter what, you always have chapter advisors around as well, so they can help deal with a problem member.
And my guess would be that if someone was behaving in a way that was seriously harmful to the reputation of the chapter as a whole, chances are there's a bigger problem going on. I would hope, in that situation, that the brothers or sisters would help the member get through it.