I know what you mean about the Time's Square billboard. Keep sharing and keep reaching out. I don't know how new all of this is for you (dealing with the abuse issues), but I think in time you should find the thoughts less intrusive. I have them often, but mostly they are not as powerful as they have been in the past. It also is easier to let the thoughts go, instead of fixating on them. That is not to say I don't get into my funks or moods where I get stuck in my thoughts; I do.
Keep working on improving things in your life. If that means keeping your "space" nice (keeping my apartment a nice living space that I feel good in does a lot to help my mood) or doing something positive that makes you feel good (riding my bike is a good one for me), then by all means give it a go. Make sure you realize your self-value and that you are worth treating yourself well.
I know how bad the funks can get. Lately I have been in a period where they come and go, but the lows are not lasting as long, and I am getting up and fighting through them. I have been working the last couple of years (and even more sore the last few months) on getting my life together, and trying to just put some order in it all and shape things more aligned with how I would like them to be. First, I feel I am worth it; the old feelings that I didn't deserve better than things being crappy just wasn't true. Second, when I do get in these funks, it seems this effort has helped me get out of them, to see that my whole world hasn't imploded in on myself (when things were much more chaotic, it did often seem like the walls were perpetually falling in on me.)
Hope this didn't come across as trying to give too much advice in a misplace manner. Keep sharing, and let us know how you are doing.