Hello, my name is Bryan. I have been playing League of Legends for 6 years and it is still the best game I have ever played. I have a full-time job that entails me sitting at a desk and thinking a lot (private security for the win!) and as such I have had the time to think about a lot of builds and how they would work specific champions. I spend hours putting together builds and doing the LoLMath to see what looks good on paper so I can playtest it in game. I love what I do and it has lead to some of the most fun (and effective) builds I have ever tried. So if you are looking for something fun to try come Pre-Season 7 give this build a go, I promise the tankiness and utter futility of your opponents won't disappoint!

Top Picks:
Smite: Essential for Jungling. Don't bother if you aren't going to take it.
Flash: Great for initiating, escaping, or really anything.

Decent Alternative:
Ghost: Works great on Rammus, use it to initiate or escape as needed, only reason I don't pick it over flash is because you can't Ghost over a wall ;P.

This is a guide for Season 7 so the masteries are not yet updated so please take note of the changes:
For tier 4 in the Resolve tree you will instead be choosing "Fearless" as it will give a huge boost to you Armor and MR especially late game when you are full build and can guarantee the proc with your 2.25 second taunt.
For tier 6 in the Resolve tree you will be taking Courage of the Colossus(CotC). Having done the math personally I found that at the very minimum with this build CotC will give you a shield for 500 health when there is one enemy nearby, scaling up to 2600 health when there are 5 enemies. With the given build this puts you at ~7.3k hp upon initiating on the enemy team.
The rest of the masteries chosen are fairly straight-forward tank choices. If the circumstance permits feel free to change these.

So I did the LoLMath for this build in an Excel document and would love to share it.

http://i58.photobucket.com/albums/g270/BryBryGamerGuy93/Rammus%20Jungle_zpsrpxxeewz.jpg

Feel free to comment with any questions or comments, this is my first guide and I would love some feedback.