If there is no possibility of what you want we can do no better than whatever approach I propose. The remote possibility of controlling infinite matter does indeed dominate all other concerns for any unbounded utility function, so I observe our utility function to be bounded. Having infinite copies of me is fine if me being a particular kind of person implies the copies of me being the same kind of person. Causal connections are not required—if someone knows what kind of person you are even without building a copy of you, that is enough for my “such that” clause.
If there is no possibility of what you want we can do no better than whatever approach I propose. The remote possibility of controlling infinite matter does indeed dominate all other concerns for any unbounded utility function, so I observe our utility function to be bounded. Having infinite copies of me is fine if me being a particular kind of person implies the copies of me being the same kind of person. Causal connections are not required—if someone knows what kind of person you are even without building a copy of you, that is enough for my “such that” clause.