Currently, I've got an outside humidity reading of 74%, indoors it's 55%.
You're in the hands of the weather gods, and the only way to solve the problem would be by using a dehumidifier.
I think it's quite important that you not only rely on the humidity reading of the incubator, but also to have a separate humidity reader located elsewhere in the room to read the ambient humidity.
The fact the incubator is located in a tack room may be the answer to the high humidity reading - leather breathes, and will also attract moisture. Think of a bridle hung over a period of time without use? It doesn't take that long before mould spores become visible. Similarly, in a overly dry atmosphere the leather will dry out and become unworkable unless we put 'moisture' back in.