Tom, are you looking for someone to tell you what your house is worth currently or are you looking for someone to assess the damage and give you an estimate for repairs?
If you’re looking for an actual appraiser, I would start by contacting banks who give mortgages. Banco Pichincha or Banco Guayaquil would be good places to look. If appraisers actually exist here (and I’m not positive they do), the banks would use them before lending money for a mortgage and they would be able to refer you to someone.
If you want someone to check out the damage and structural integrity of the house, you’ll want to find a structural engineer. Any architect should be able to give you a referral there.