SEnd it by FEDEX or DHL even UPS , it has to be registered mail. It takes less than a week and it is secure , they deliver to your door. Not even the post office employees recomend to use regular mail. Para encomiendas mas grandes esta Amazonas, on Weston Rd and I m not sure about the other street.

If it's time sensitive I would still send it trough  Fedex...the other couriers are way less reliable. I don't know where your parents are in Ecuador but they might even be able to pick it at the airport within a couple of days.