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You can try to go with the 300mm F4 prime which is slightly more expensive than the 200-500 mm if you budget permits. Prime lens is an investment and an asset and will never let you down. It will also capture some of the most amazing pictures. The biggest advantage would be the weight. It will convert your camera into a 450mm F4 to F/5.6 which captures stunning photographs
if you still have a budget constraint, the Nikkor 200-500mm is a better lens than the sigma on a Nikon body. it is still a very capable lens for wildlife and people have captured some stunning images on them