Nick here from Shopify.
I took a quick look into this for you and found some courier services in Ecuador which you might be able to work with for your store deliveries. Let's take a look at them below:
There do seem to be more than that which you look further into here should you wish.
Something else which might be of interest to you in case you haven't already looked into it is the payment gateways available to you in Ecuador with whom Shopify has partnered with. You can see them here. If there are any other questions you have about getting started with Shopify, don't hesitate to let me know.
Hopefully, this helps!
All the best, Nick