Loved Belizean Shores. Great property, great staff, awesome pool. Onsite excursion staff was great to deal with, water taxi to town is convenient and be sure to inquire when the staff uses the property boat to go back and forth -- you may be able to catch a ride (though they will still likely charge you the going rate).
Answer is technically yes, but dependent on road conditions of the day. Golf cart rental for exploration and NOT as chief mode of transportation from Belizean Shores -- bad idea (my opinion only (but ain't this all?)).
Use Simon's service http://www.lagniappe-belize.com
to stock your room before arrival. Great guy and invaluable service