While trying to help out a friend with an airline connection to Guanaja I came across a few great options flying with Cayman Airways!
Mondays and Fridays:
Guanaja-La Ceiba-Grand Cayman-Miami (La Ceiba-Guanaja to be booked locally)
New York(JFK)-Grand Cayman-La Ceiba-Guanaja
Guanaja-La Ceiba-Grand Cayman-New York(JFK) (La Ceiba-Guanaja to be booked locally)
All of the flight are operated by Cayman Airways except for the one going out to Guanaja. The whole connection can be easily done in one day. The flight from La Ceiba to Guanaja leaves at 3 pm and returns to La Ceiba at 10am to make the connection with Cayman Airways.
This is a brilliant connection!!!!!!!