My workshop is around 50% most of the time. It is a double garage attached to the house, well insulated. I have compared the RH of the workshop to the main house, and they always seem to have about the same RH. So if the house goes up, so does the workshop. I used to run a dehumidifier in the workshop, but since my experiments showed the same RH in the shop as the house without it, I haven't bothered.
I don't have CH in the workshop. Even when it is freezing outside, it rarely drops below 12C in the shop, and a little bit of electric heat easily takes the chill off.