Karen,
I really don't recommend any place that is not within staggering distance of Duval St.
KW has strict laws on DUI and the cops are tough about enforcing it. Be aware that DUI on a moped is treated the same as DUI in a car. They also a have local misdemeanor ordinance for DUI on a bicycle.
I've stayed at the Island City House, Casa Marina, the Hilton and the Pier House. IMHO, the Pier House is the nicest, but tres expensive this time of year. Casa Marina is nice and the Hilton is OK.