The best way I know to have some unexpected fun which can potentially escalate into something really good or really awful is to make mistakes.
You can take a gamist approach and just spice up your experience with flavourful RP messages. And it's fine. But also a bit boring for me. I like flawed characters and I like their flaws manifest. Been having lots of fun on Dwilight bickering with an allied noble. Hoping to receive at least a few challenges to a duel by the end of this month.