Hi Octoberbride.
First off, good job for seeking help with a Dr. It takes a lot of courage to ask for help. Most people they can do things on their own. I've had, and still have bouts of "obessive thoughts." Sometimes it's like my brain is lflipping through the channels of a TV that only plays horrible things, and it won't give me the remote. It's like I'm forced to watch it. The subject matter varies from the hurtful or disturbing, to everyday worries that won't shut off.
I've been in psychotherapy for four years and take meds, and those "bouts" of obsessive thoughts are fewer and farther between.
So hey, just wanted to say, you're not alone, for sure, if there's one thing certain, you're not alone

Kudos on the behavior therapy, stick with it
As far as Luvox, hmmm, I'm a Lexapro guy, never taken Luvox, but I believe they do the same thing. BUT, here are some things to think about
:
1. Taking mind meds is for crazy people. Yeah, no. If part of you worry involves the stigma of mind meds, then you know what, that's fine. It's a legitimate worry, it's scary, it was one of the biggest things I had to get over, and talked in length with my therapist about it, until I finally was brave enough to go see a Dr.
2. All SSRI's work differently with different people.
3. Some are better for certain things than others. Although this could be contested. I personally think they don't really know. And you just gotta try.
4. Side effects: Ya know what, you might get them, you might not. For me, side effects were higher when I first started. Within a month or so, I don't even know if they exist or not. Maybe they don't, maybe I don't realize them, either way, not a problem.
5. You may find yourself trying different meds to find the one that works. It is totally common to do that. No worries there.
6. OPINION: I will say, that I am a firm believer in therapy plus meds. I really don't know if meds would help without therapy in this situation.
7. My sister-in-law makes fun of my Uncle because he takes mind meds, but she doesn't know I take them too. And she could seriously use them. True story.
Long story short. You rule, and I say that because I know how absolutely aweful it is to have obessive thoughts. Hang in there.