There are no restrictions. Technically the Historic Registration is supposed to be for a vehicle you don't use as a daily driver but there are no restrictions as to where and when you can drive it. The only reason they even say anything about the lower use is because of the huge tax savings. My annual renewal is less than a dollar a year. There is no way for them to verify how much you drive it and again, there are no location or time of day restrictions.
KRS 186.043
Historic vehicles may display an authentic Kentucky license plate, twenty-five (25) years or older, or a reproduction of such a plate, if the historic motor vehicle plate and the registration receipt are kept in the vehicle at all times.