Frankly, I'm surprised that places in Placencia are fully booked in early November. That's still off-season (still hurricane season as a matter of fact). Placencia is usually pretty slow off-season. The impact of the hurricane on Belize is likely to be that people will cancel everywhere in the country, even though Placencia and most of the country were undamaged. That's what unfortunately usually happens after a big storm.
If you're looking for something nice in Placencia, I'd try Inn at Robert's Grove, Rum Point Inn, Kitty's (the beach cabanas) and Luba Hati (Luba Hati may not be open then -- they close off-season.) A step down but still very nice are places like Nautical Inn, Serenity, Green Parrot, Singing Sands and others.
Belize First http://www.turq.com/belizefirst/