If I recall correctly, from reading other threads these batteries 18350 = Keepower 1200mAh or Aspire 1300mAh have only about 1100mAh!
Initial marks were 1300 mAh, but those were inflated values; so, after tests they put the 1100mAh capacity on the wrapping, being that more accurate!
Other than this, I don’t have much to say in terms of suggestions.
For AA headlamps, you have the Manker E03, I don’t think it runs on 14500s, though, just AA and Ni-MH. I don’t know about weight, though…