Since I helped to derail this threat, I will now attempt to put it back on the tracks. I acknowledge that there is deep seeded disagreement about the perceived "fun" of cards like this. My bottom line is I love diversity in any format and I like seeing wildly different or opposed cards/strategies collide on the battlefield. I find that sort of jockeying for position to be what makes matches of magic worth watching. But, I digress. Back to analyzing THIS card :).
Here are some ways I think this card could be built around:
A deck with Knight of the Reliquary and Ramunap Excavator. My reasoning for this is that if you can keep your opponent at less lands you can keep them even MORE hard locked. I also like the idea of Sylvan Safekeeper in such a list to ensure that the Lavinia survives early spot removal. Such a list would also run 3-4 Stony Silence to make sure moxen can't help cast things if they are eeked out early. I think this list would be Bant.
A more Esper approach with something like Salvagers as a win con. I think a deck like that might be able to make use of Lavinia's ability to essentially stop Force of Wills. This kind of deck could probably also run its OWN Force of Wills. I'm also not sure this sort of list would be able to max out on Caverns.
Those are the main 2 shells I see this card being abused in. Do other people have additional thoughts?