it all depends on if you need to extract lead as a metal, or ion.
If you need lead to become metallic; you need electrochemistry - if only because you need to reduce your lead, which is in the 2+ oxidation state. (adding metallic Zinc would make the lead crystallize out for example:
Zn --> Zn2+ + 2 e- E= 0.76
PbSO4 + 2 e- --> Pb + SO42-
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Zn + PbSO4 ---> Pb + Zn2+ + SO42-
just an example (this is the basis of old batteries), but you get the picture.
If you are allowed to get lead out as an ion, lead acetate sounds fine