Do you just want the text from the forms? Or do you want the actual forms embedded in the PDF.
If you just want the values:
You could try to parse the HTML, before sending it to the PDF Library.
That is, try an XML parser, Joomla comes with more then one XML parsing utility.
$type = 'simple'; // simple | rss | dom
$xmlParser =& JFactory::getXMLParser($type);
Parse all the form fields and convert them to regular HTML elements like <span> or <div>.
If you want to embed the form:
You'll probably have to extend the PDF lib.