Got time and/or money? If you need a ST MR, there's great fares from HNL to LIM (less than 14 cents per basic mile before CoS/elite bonus) on DL with lie-flat seats all the way (330 and 763 HNL-ATL-LIM) but then you have to get to HNL. If not, DL uses lie-flat 763 between ATL and LIM.