DunninLA correctly notes that Scripps is a graduate-only program, as is the comparable program on the east coast (MIT-WHOI). While one can get a very good undergraduate education at UCSD, it would certainly not be worth OOS tuition. For that matter, I doubt any
OOS publics would be, unless you get an extreme amount of financial aid.
I live in Florida and would like to stay in state
Florida has lots of great options!
The Rosenstiel school at Miami is the strongest program in FL and one of the very strongest in the country. UF has an extremely strong zoology program and has decent offerings in marine science, as does FSU. USF is less selective and would make a nice safety; it's very strong in marine science. Among smaller schools, Eckerd is extraordinarily well represented in marine science. New College may be worth a look, but I'm less familiar with their offerings.
I have found that most people suggest a bachelors in Biology and a Masters (and PhD) in a more specific field of Zoology.
I agree with them. For a solid grounding in marine biology, you'll need a wide range of courses at the undergraduate level anyway - genetics, ecology, biochemistry, botany, evolutionary biology, embryology, etc. You'll also need a solid grounding in chemistry (one year of basic chem, one year of organic chem) and preferably at least a basic background in physics, statistics, and/or computer science.
There's nothing you can do with a marine biology or zoology degree that you can't do with a biology degree, but the reverse is not always the case.