You cannot add items to DOMNodeList via it's public interface. However, DOMNodeLists are live collections when connected to a DOM Tree, so adding a Child Element to a DOMElement will add an element in that element's child collection (which is a DOMNodeList):
$doc = new DOMDocument();
$nodelist = $doc->childNodes; // a DOMNodeList
echo $nodelist->length; // 0
$elem = $doc->createElement('div');
$doc->appendChild($elem);
echo $nodelist->length; // 1
You say you want to add "some useful methods that return data as DOMNodeList". In the context of DOMDocument, this is what XPath does. It allows you to query all the nodes in the document and return them in a DOMNodeList. Maybe that's what you are looking for.