Who should I play in the jungle?

I recently started playing jungle because its much easier than laning since I have lots of lag. (No missed CS is what I mean) If this makes a difference at all I'm good at skillshots and I power farm a lot (I have more CS than laners most of the time, although camps are worth less I think)

These are the ones I wish to play and why (I can play Shyvana and Yi already) Master Yi - Wrecks everyone when I play him Shyvana - Get tons of dragons (new passive) and ganks are amazing Evelynn - Screw wards Pantheon - Good ganks and good ultimate for baron/dragon Fiddlesticks - Teamfights Nidalee - The spears Kayle - Slow and good ult Udyr - Really tanky

These are some others I own but haven't used (but still might play) and why Amumu - good ult but not much else Mundo - not much besides a meat shield Lee Sin - too much lag to ward+w Nocturne - so squishy Shaco - fed or dead Warwick - good ult but that's it

Replies explaining why would be helpful. Thanks!