Hey Marlin, I think it really depends on how long you are staying in LOS. The longer you stay the more economic finding your own accomodation becomes IMO. I have found that even with Joiner fees some packages are cheaper for short stays {10/14 nights}. The airlines mentioned do have cheap prices but watch out for length of stopovers and deals requiring two people to travel.
Whatever price you end up getting once you are there it will feel like it was worth it!!!!
