When flying from Cape Town to Belize City, the time of day you decide to fly out makes little to no difference towards the overall price you’ll pay on tickets.
Cape Town Intl (CPT), located 15,6 km from the city centre, is the airport you fly out of when you book flights from Cape Town to Belize City. 2 airlines have flights from Cape Town Intl to Belize City on a regular basis. Booking flights from Cape Town Intl to Belize City should not be difficult; the airport handles an average of 0 outbound flights to Belize City per day.
You don't need a visa for Belize if you hold a multiple-entry visa or valid residence permit for the United States or Canada, or hold a valid multiple-entry Schengen visa.