Unless you have literally zero interest in finding out, there should be some sum of money, possibly less than $5, equal to the value of learning what you will actually do when you set up a contract for yourself.

That's tricky. The experience of setting up a commitment contract for 0.0001% of your wealth is unlikely to provide any learning as to what you will actually do in response to a commitment contract of 5% (or 50%) of your wealth.