How should people solve anthropic problems under such conditions
This is probably a good situation to abstain from judgement all together. But if we really want some number, just for the sake of it, then adopting equiprobable prior between SSA, SIA and No Randomness seems to be pretty decent. Or confidence interval wide enough so that all the three estimates fit into it. This is not going to be a particularly helpful estimate, but what else did you expect from reasoning based on your own ignorance?
This is probably a good situation to abstain from judgement all together. But if we really want some number, just for the sake of it, then adopting equiprobable prior between SSA, SIA and No Randomness seems to be pretty decent. Or confidence interval wide enough so that all the three estimates fit into it. This is not going to be a particularly helpful estimate, but what else did you expect from reasoning based on your own ignorance?