Beatrice,

could you post more details about your trip. Is your intention to spend time only in Cuzco or also some time for instance in Lima/Lake Titicaca? Do you have some miles you could use to book domestic flights within Peru? LAN flights to Cuzco tend to be very expensive for non-residents but don't require many miles & they have 20 daily flights...

No extra perks (lounges etc) are offered for status-members on LAN's domestic flights. If price&onboard product are your priority instead of miles, you should compare TACA prices with LAN for LIM-CUZ flights. After all, it's only 500 mile flight to CUZ.