You could buy a high end Digital Signage display. Usually these are "dumb" and also have no TV tuner or consumer type settings. But are high quality, designed to be powered on 24 hours a day and have great picture quality. Because of the lack of additional image processing, they often have some of the lowest input lag as well.
http://www.samsung.com/us/business/displays/digital-signage/
Prices are much higher though.