Hi Scott,
You can set the time on the ShowControl page, or via any software that sends custom TCP/UDP/OSC/HTTP commands.
To set it from ShowControl, you can add any source on ShowControl using the webinterface. For example, you can add the "Userlist 1", add an action to it and edit that. Now you can use the task "Timecode - Time - Set" to set the value. When you press "Execute" on the action (or task) you set the time.
If you want to use the buttons to set the specific times, you can add the "Buttons" source in ShowControl. Actions in that list have some options on the left to setup how it responds on a button press. (Short press, long press, etc.)
If you need any more help, just let me know.
Greetings,
Bootsy