This is a quite simple implementation.
EDIT: this is with timezone, but I'm not 100% sure it works as it should.  Timezones can be tricky.
<script>
var currentIndex = 0;    // global var.  If the reporter index is different than this, the change will be triggered.
var serverTimezone = -4  // New York Timezone.  notice DST.  In Winter time this should be -5.
// all on New York Time
var reporters = [
  {name: 'Tintin',        time: '2017-07-19 08:00:00', url: 'http://photos1.blogger.com/img/28/3438/320/Tintin.jpg'},
  {name: 'Kent Brockman', time: '2017-07-19 09:00:00', url: 'https://static.simpsonswiki.com/images/thumb/1/16/Kent_Brockman.png/250px-Kent_Brockman.png'},
  {name: 'Clark Kent',    time: '2017-07-19 11:00:00', url: 'https://i.ytimg.com/vi/9HbXdHu3NaI/hqdefault.jpg'},
  {name: 'Peter Parker',  time: '2017-07-19 13:00:00', url: 'http://sotd.us/justingabrie/peterparker/Module08/images/peterparker.jpg'}
];
function getReporter() {
  var index = 0;
  var now = new Date();
  var clientTimezone = -1 * now.getTimezoneOffset() / 60;   // this returns (in Summer time) example: for Brussels: 2 , NYC: -4, ...
  var timezoneOffset = serverTimezone - clientTimezone;
  for(var i=0; i< reporters.length; i++) {
    var reporter_time = parseDatetimeString(reporters[i].time, timezoneOffset);
    if(now >= reporter_time) {
      index = i;
    }
  }
  if(currentIndex != index) {
    changeReporter(index);
  }
}
function changeReporter(index) {
  currentIndex = index;
  document.getElementById('banner').src =   reporters[index].url;
}
function parseDatetimeString(s, timezoneOffset) {
  if(! timezoneOffset) {
    timezoneOffset = 0;
  }
  var bits = s.split(/\D/);
  return new Date(bits[0], --bits[1], bits[2], Number(bits[3]) - timezoneOffset, bits[4], bits[5]);
}
window.onload = function() {
  getReporter();
  // check every 20 sec, feel free to change this value, 
  // it isn't harmful to the client so set it even smaller 
  setInterval(getReporter, 20000);
}
</script>
<img id="banner"/>
Timezones are not included yet; Which timezone are you on?  There is some work to handle this.
(I'm on Kent Brockman now, 14:00:00h on Brussels time; but presumably you have clients in other timezones...)
<script>
var currentIndex = 0;   // global var.  If the reporter index is different than this, the change will be triggered.
var reporters = [
  {name: 'Tintin',        time: '2017-07-19 13:00:00', url: 'http://photos1.blogger.com/img/28/3438/320/Tintin.jpg'},
  {name: 'Kent Brockman', time: '2017-07-19 14:00:00', url: 'https://static.simpsonswiki.com/images/thumb/1/16/Kent_Brockman.png/250px-Kent_Brockman.png'},
  {name: 'Clark Kent',    time: '2017-07-19 15:00:00', url: 'https://i.ytimg.com/vi/9HbXdHu3NaI/hqdefault.jpg'},
  {name: 'Peter Parker',  time: '2017-07-19 16:00:00', url: 'http://sotd.us/justingabrie/peterparker/Module08/images/peterparker.jpg'}
];
function getReporter() {
  var index = 0;
  var now = new Date();
  for(var i=0; i< reporters.length; i++) {
    var reporter_time = parseDatetimeString(reporters[i].time);
    if(now >= reporter_time) {
      index = i;
    }
  }
  if(currentIndex != index) {
    changeReporter(index);
  }
}
function changeReporter(index) {
  currentIndex = index;
  document.getElementById('banner').src =   reporters[index].url;
}
function parseDatetimeString(s) {
  var bits = s.split(/\D/);
  return new Date(bits[0], --bits[1], bits[2], bits[3], bits[4]);
}
window.onload = function() {
  getReporter();
  // check every 20 sec, feel free to change this value, 
  // it isn't harmful to the client to set it even smaller 
  setInterval(getReporter, 20000);
}
</script>
<img id="banner"/>