If you've been on this low-carb for over a month, then you're probably already fat-adapted, that is, ramped up the fat-burner hormones. If you fell that you have made that transition, then you can bump up your carbs. We've had a lot of discussion about that on the forums lately. Lots of people can handle more carbs, but it seems to work better if they make a low-carb transition first.
It sounds like you need to be on the higher end of the Carb Curve. Maybe around 130 g/day carb, possibly a few more? It's easy to do that without wheat or grains. High quality potatoes, rice, fruit.
60 g protein may not be enough.. maybe bump up to 80 g/day?
That will allow you to decrease your fat to about 85 grams. 130 carb + 80 protein + 85 fat = ~1600 cals/day.
For exercise, you may do well with yoga, or Pilates, or balance ball, or "body weight" exercises. They are all low-impact, low-weight, and won't build muscle. They will help your mood too.