I believe your only option would be to fly into the international airport in Belize City. The airport code is BZE. From there you can either take a shuttle bus, rent a car or take a connecting flight on Tropic Air to get to Placencia Village.
A round trip flight from the international airport in Belize City to Placencia is185 and will take you 35 minutes. You can get further details at www.tropicair.com.
If you plan to take a shuttle bus or a car, it will take up to 3 hours to get to Placencia.
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