I used to do a lot of extreme and savage content. For me all roles each have their own variation of stress, but, for me at least, DPS tends to be the least stressful. The reason I say that isn't because the job is easier, or because they have less things to focus on, but as a DPS I felt like for the most part if I made a mistake it wasn't going to cause an instant wipe, at least not in content I out-geared or older content. As a tank or healer a mistake usually meant a wipe so it was always more personal stress because I didn't want to let the other players down.

In your case DPS might make the stress more manageable? At the very least it couldn't hurt to give other roles a try to see which you like best.