I agree Florida needs to keep an eye to the SW...to answer your question, and this is from a life long set of experiences, the only storms that have influenced the west coast (westcentral) of Florida have been some late season very disorganized storms such as Marco, and last season's Gabrielle ( which really was a huricane by the way).
There may have been some others, but I cannot recall too many. We have experienced huricane conditions from storms moving north or away to the NW as they pass by, but have not had that direct hit in my life time. Donna was a Cape Verde storm in the early 60's that spun into the coast south of Ft. Myers, and that is the last one. I know Marco and Gabrielle had a direct hit in the Sarasota, Bradenton area, with relatively minor damage of course.