Remove the fairing if it suits you, it's the way most are set up these days. Riders want to be in the wind. But don't throw it away. After not too many years and if you are going to make any longer trips you will be glad to have that ugly thing still hanging in the rafters of your garage. A fairing is a welcome change to the buffeting of the wind on long trips. And the older drivers usually migrate back to them.
If you try to sell it you might be surprised it won't bring any money. They are hard to give away. But if two years later you try to buy one they won't be available or will be high priced. That's the way they are today. These conditions may change tomorrow.