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Naut is very slow and hard to start the jungle. He's okay once he gets going, but he's going to be rough with the new jungle.
Elise is not a good mid at all. Play her hybridy top and she's pretty awesome. I'm not really sure how she fairs as a jungler.
Diana is probably your best choice. She's a beast mid, she can go top too and she's not a bad jungler. I prefer her mid though. With all the FOTM Kats running around, Diana can completely shut Kat down. She can interrupt her ult with her E, and if Kat tries to Shunpo away, you can use R to stick on her.
Diana's one of Europe's top ten bans, we haven't quite caught on yet.