How do I create a featured image that will display for 24 hours?

I'd like to create a Featured Image that will be randomly chosen and displayed for 24 hours, beginning at midnight, and continue to be displayed until midnight the following day. I can't find a setting in JoomImages where there is a setting for this, unless I'm missing something. I can do a box for it, but it's a Random image that refreshes every time the page refreshes, and that's not what I want, I want it to show the same image to everyone chosen randomly for 24 hours. Could someone here kindly recommend a new plugin or setting in JoomImages that will allow me to do this? Thanks!

No response to this? It would be kind of a neat feature to have. I have not yet discovered how to do it myself and would love some help with this. Thanks!