Lavinia fits best (as in it is her natural home) in the 5C Human version that goes for control and value (Sensei Top/Dack). However this deck did not see a lot of play since I left the scene. The more aggro control Human decks have seen some play according to mtgo goldfish.
I don't think the classical aggro 5C Human decks would work very well right now. With this I am referring to the Mantis Rider lists without Force of Will.
I think the only 2 versions that can do really well is the tempo oriented list with Force of Will and Null Rod (you all know merfolk.dec and the Humans deck that became popular in modern). The problem is that the Bazaar oriented decks are more efficient in doing this. However, it also have to be noted that a Human deck with Caverns can beat any Bazaar.dec because of Lavinia (soon), Containment Priest and artifact removal. I guess this is a matter of taste. It really comes down to whether you want Cavern or Bazaar against the rest of the meta. Bazaar does get the job done faster and more brutally, but Lavinia might be powerful enough to create an argument.
Like I mentioned the TopDack (what I have been playing since 5 years) is also a strong option. This is the deck with broken plays. With the exception of some blue cards you are in fact a blue control ala grixis/mentor deck. You run full acceleration most of the time. But you run a unique 5C manabase with fetchlands to fuel Top and you benefit from Cavern to cast powerfull Human control cards like Kambal, Grand August 4, Monastery Mentor, Spellseeker, Containment Priest, Notion Thief, Snapcaster, JVP, Noble, Deathrites and so on. Usually you end up with approximately 15 creatures which you have chosen well to fit your play against the meta. Most of the times there are some non humans involved, like Shalai or Falkenrath. Shalai is a very interesting option to deny removal or an Oath activation. You can play with Tinker/TV/Key (key is good anyway because you run 2 or 3 tops) with a Blightsteel in SB. When running a Tinker I usually play Trinket Mage aswell and run 1 crypt main deck with also a Containment Priest main deck. This gives me game against Bazaar in game 1. You can also run Chalice with similar ideas. I mean, the options are endless honestly... And I believe that the biggest problem is occupying the slots with cards that have as much versatility as possible. And Lavinia is going to deliver. The slots that she will be sitting in, will be well spend.