I agree with Richard. Driving lets you see more of the country and gives you the freedom to go when and where you want. Also, a car on the Placencia peninsula is handy just to get back and forth from your hotel to restaurants and such.
Things should be back to normal in Placencia by then.
You can either fly (cheaper if you fly into Muncipal) or take a water taxi/ferry to Belize City.
I like Budget -- they're locally owned, professional and have good low-mileage cars. Crystal, Thrify and Hertz also are good.