Anthropically, UDT suggests that a variant of SIA should be used.
Depending on your preferences about population ethics, and the version of the same issues applying to copies. E.g. if you are going to split into many copies, do you care about maximizing their total or their average welfare? The first choice will result in SIA-like decision making, while the latter will result in SSA-like decision making.
Suppose we could look into the future of our Everett branch and pick out those sub-branches in which humanity and/or human/moral values have survived past the Singularity in some form. What would we see if we then went backwards in time and look at how that happened? Here's an attempt to answer that question, or in other words to enumerate the not completely disastrous Singularity scenarios that seem to have non-negligible probability. Note that the question I'm asking here is distinct from "In what direction should we try to nudge the future?" (which I think logically ought to come second).
Sorry if this is too cryptic or compressed. I'm writing this mostly for my own future reference, but perhaps it could be expanded more if there is interest. And of course I'd welcome any scenarios that may be missing from this list.