Try Otis Adelbert Kline's two Mars books ("Swordsman of Mars" and "Outlaws of Mars". Published during the time frame you refer to. Main character very John Carter, except that he makes errors in judgment, such as killing the princess's pet because he thinks it is a ravening monster. Fun ERB-pastiches.
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A little more detail on why I think Kline's books may be what you are looking for.
rws
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rws
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