SO be nice. =P
ANY way, i think Kayle is an awesome jungle, She's quick, deals the damage, O and did i mention She is Drop dead SEXY. Any who i hope you like this build, try it out and see how it goes for you.

Its seems to work for me but who knows if its very good.
Ok so the jungle rout you will be taking is simple, start at Blue and work your way down, wolves, ghouls, red then golms. then its your first time back and you should be lvl three time to start ganking. so the first thing you are going to want to buy is boots of speed and maybe a few health pots or sight wards to keep enemy jungles and ganks from getting you or your team, health pots really only if you are feeling a lil unlucky. Ok, so your first run is done, now go back to ghouls and lvl up to 4, now is the time for your gank, i usually start with top solo lane, and work my way down the map. but you can start at mid to, only go bot first if they are really getting hammered. after that. play a jungle, don't feed, and as always have fun.

Ok for you who have never played Kayle lets go over the Basics

First, off her passive, Great for team fights and helps with the ganking
Second, Reckoning, her Q, get it second because it slows the enemy and Kayle deals extra danm
Third, we have Divine Blessing get this third for the speed boost but level it up last since your not the team support.
Fourth, and my personal Favorite Righteous Fury, Kayle deals magic danm and a splash, this is what makes her jungle so fast Take first and max it up by 8.
Fifth, we have her ult, Intervention, at first when i started playing her i was not to thrilled about it, but now i know how awesome it is, only this is timing. People will hate you for soaking all that damage they deal.

So for her two support spells,
Divine Blessing, I use to chase, help one of my team chase or if I or someone else needs to get out quick.
As for Intervention use it before damage is done, or if you really need to escape but you have no chance.