Belize is a poor country. Rich people who flaunt it in places where it is not wise to do so (almost everywhere) will get robbed, regardless of their nationality.
While my fathers friends brother may know something that is true, by the time it gets down the grape vine... yhea.
I have a friend who has FIRST HAND knowledge, and swears that everywhere in Oaxaca, Monkey brain soup is on every corner. My last few trips I SEARCHED and still fail to find it.
Anywhere is ok as long as you dont do anything intentionaly stupid, and remember that a little bit of strength of character combined with a little humility will get you out of (or preferably, help you avoid ever getting into) most undesirable situations.