Skinning is a great farming trade...but paired with enchanting ...might make things a bit difficult. If you are just using the enchanting to DE items this would work. If you actually want to level it, I would pair it with a craft that can make greens to DE.
Also, have you thought of Skinning and mining? Your mining is leveled, and skinning doesn't run on the same tracker. A good source of income, even though it doesn't provide finished materials.
If you have mining, you could also pick up engineering. Many find its fairly involved and challenging, but it can be rewarding.