Hmm I thought your "solution" was a different custom ROM? Even if I sync an account with few (10) contacts it's the same issue for me...
dlog_system only shows Power Manager messages all day e.g.
06-04 13:05:36.359 303 303 I POWER_MANAGER: core.c: default_trans(1381) > S_LCDOFF -> S_SLEEP : check fail
BTW, did you experience the high drain when you were on the stock (non-rooted) Gear 2 ROM?