not sure if there is a solution recipe... try:
<input type="hidden" name="shipTypeText" id="shipTypeText" value="Ground">
<select name="shipType" onChange="document.getElementById("shipTypeText").value = this.options[this.selectedIndex].text;">
<option value="01">Next Day Air</option>
<option value="02">2nd Day Air</option>
<option value="03" selected>Ground</option>
<option value="07">Worldwide Express</option>
<option value="08">Worldwide Expedited</option>
<option value="11">Standard</option>
<option value="12">3 Day Select</option>
<option value="13">Next Day Air Saver</option>
<option value="14">Next Day Air Early AM</option>
<option value="54">Worldwide Express Plus</option>
<option value="59">2nd Day Air AM</option>
<option value="65">Express Saver</option>