I'd be more likely to try an antipsychotic than an antidepressant. I know that when I started Abilify as a depression adjunct, my anxiety improved significantly as well. I hadn't quite realized how anxious I was until that happened.
I would give an antidepressant a shot if my pdoc was on board with it and ready to manage the possible fallout. Valium is no kind of solution as the risk of addiction is too high for my taste.