My anecodotal experience is that SNRIs and SSRIs can massively increase the propensity, and even induce panic attacks where they were never present. My recommendation is to first try dancing - I know it sounds dumb, but the risk reward profile of this I think puts it at the first line of defense. I get that it is very hard for somebody in that mental state to get up and go dancing.
Yes, SNRI/SSRI's can precipitate panic attacks. And I agree aerobic activity of any sort can be very effective for controlling stress/anxiety and even depression. The important thing is to find some things that work for you and do them.