There is one local airline La Costena Airlines that flies to Big Corn Island from Managua usually once in the morning and again in early to mid afternoon. These are 15-20 seat dual prop planes without pressurized cabins or conditioned air. (http://www.bigcornisland....) One Way flights are around 107 US and a Round trip around 165 US. Some of the planes go first to Bluefields before they continue to the Island. There is a weight limit for the plane so be careful about how much luggage you bring. They weigh each passenger with their luggage before boarding. When you arrive in Managua exit the airport and go left to the small building next to the terminal. You can purchase tickets there, but need a reservation in advance most of the time. You can change the return date for your ticket with no trouble or fees as long as there is room on the plane.
Some days of the week, you can get from Houston or Miami to Managua in time to fly directly to Big Corn Island; other days, you will have to spend a night in Managua and fly to the island the following day. When you return from the island to Managua, again, you may have to spend the night depending on the timing of the flights.
There are also three options for ferries from Rama via Bluefields. This is an all-day plus overnight trip. (http://www.bigcornisland....)
Schedules are always changing. For the latest transport information on how to get to Big Corn Island, view the updated graphic Managua - Corn Islands