I think that choosing a very easy, almost non-thinking pattern would be the way to go (simple 6-10" squares, D2P, rail fence, etc.). This would allow you not to stress over all the details, and just do something fun.
Then, when you do have more time, or are less stressed, have a more challenging project set aside to work on. This way, when the time is right, it's waiting.
Believe it or not, the hand-quilting is also very soothing. I like that, and applique, during stressed times as it forces me to slow down (I tend to run fast) and I find myself soothed, calmed, and enjoying the process. There's just something about that rocking needle...
I do these tips myself. Sometimes I love the challenges. At others, I just want to sew and not think and just listen to my music, petal to the metal! And it destresses me. Since I enjoy both types of quilting, as well as both types of longarming, I keep easy and hard ones of each type waiting for me, depending upon my mood :)
Hope this helps,
Debbie in Austin