I know this is a non af-s lens, but other than lack of auto focus, will this lens work on a D5200? I have been doing some wildlife photography and want more than 300mm (I have a 55-300mm) but not sure if I need 500 or 600mm (sigma or new Tamron) All comments welcome. Love this website. You all are so smart and experienced in photography. I am learning a lot from you all. Thanks in advance.