This is a very creative and thought-provoking question!
Personally, if I knew relinquishing my citizenship would free me from all debts and "obligations" I allegedly have to the nation-state by virtue of some imagined social contract, I'd probably let this citizenship go for around fifty bucks.
I know that seems cheap, but I'd be getting off light, considering how much more criminal protection money would otherwise be pumped out of me over the next forty years of my life until I became eligible to become a tax-feeder myself; not to mention the emotional distress and mental trauma I would endure out of fear of being kidnapped and thrown into a FedCage for violating any one among a limitless melange of stupid, pointless, and downright unconscionable state and federal dictates.
Yesiree, I call that a bargain. The best I ever had.