Not Updated For Current Season
Quote from my comment below about how to actually do this...this is still not recommended nor is it optimal but this is how I would do it.
Well honestly this is REALLY just for a friend because he wanted to try it, jungling with Soraka is horribly useless and I do not recommend it unless you are doing a normal and want to try something completely ridiculous. Soraka is a VERY VERY god VERY slow jungler she has no gank-ability and her ulti is **** now imho.
I would start with the safe route and double golem smiting one of them to wraith camp using ignite to down blue wraih, after that I'd do wolves recall and grab either a red or Blue elixir and whatever I could for Innervating Locket and head for Blue buff, grab Blue then have a carry come and help them get Red buff, after that I would check and see which lanes need help because at least one should by now and go heal and mana them up and repeat until it's time for team fights.
If I was actually going to try this I personally would go Health or Mana Crystal and build Innervating Locket first, then rush boots going with Sorc, or Mercs depending on the enemy team's composition. After that Aegis, Rod of Ages or Soul Shroud in no particular order all are beneficial in their own ways. After that I would get Zhonya's for the AP and survivability.