I think I would go control/stall, make getting targeted and attack difficult for your opponents, pack plenty of boardwipes, and equip/enchant Teysa for a general damage kill since she can't be blocked.
Since she has protection from creatures and Vigilance, I would highly recommend going at least pseudo-voltron with her. She won't be blocked, so it will be free damage all day.
Try taking advantage of all three, but I'd lean towards Voltron. Here are a few suggestions that might fit into your Teysa deck.
Edge of the Divinity
Thanks for the input, guys. I think I know how to approach this deck now. A Voltron/ Control deck sounds pretty good to me. dcarpntr, thanks for linking some card ideas too.