Sorry I can't help more regarding correct SE methods. As I'm sure you know, most resources I found in internet searches are directed specifically toward complex sampling schemes, not unequal weighting problems exclusively. How different are the errors between MEANS and SURVEYMEANS? If you don't have complex sampling design, they should be pretty similar. Also check your weights for extreme values as this can be problematic. An alternative is to calculate stabilized weights, which usually reduces standard errors. Good luck.
... View more