Help Me Build: Nunu Vs Garen Top
I've been hitting a rut in league, mentally and in-game. I've decided to find a champ/playstyle that I can play a lot of and stay entertained. I've found that Nunu top is quite enjoyable for me. I have a variety of builds. I'll spare you the details and cut to the chase. I just played against a Garen and got stomped. His first kill was a miscalculation by me losing the fight by just <100 hp. From there it seemed to be over. He continuously swamped me in lane. I went chain vest into revolver (I was maxing Q for sustain, revolver + Q heals for almost half HP). It seemed to work on paper but it wasn't until later I discovered why that didn't solve it. I was unable to get close enough to minions to Q often enough. So come to the boards. Many heads are greater than 1. I like to stick to a very annoying splitpush style (sunfire, titanic hydra, ZZrot are common items). How would you approach this matchup? Clearly there is no 1v1ing a Garen as Nunu, the numbers are simply not there. I need a build so strong that the Garen can get frustrated because he can't kill me. That's the goal, survive lane and splitpush later. So let them rip. I'll drop some ideas, you may agree or disagree, but if you do respond to this post at all, please explain your thought process and reasoning. There are some creative people out there and I'd like to hear them.
Vs 
? (more cdr means more Q's, lots of armor for his all ad spells [they are all ad right?] and some mana)
(to compliment Frozen Heart in sustain)
(some mobility along with armor. May be replaced with
if enough AP on enemy team)

?
