Yes. It's southwest Florida, about 3-4 hours depending upon the route you take.
I've made it in 2 1/2 but I was driving at night on the back roads and going right along.
Oh you could never do it as a day trip. Well, I mean you physically could of course, but it's not practical at all.
Clearwater is quite nice, Mick. I prefer Cocoa Beach, but that is solely because I am an Atlantic person, more than a Gulf person.
Much will depend upon what you are looking for in a beach experience? What do you and your family do when you go to the beach? Or rather, I should say what do you like to do or want to do?
St. Pete's is nice and that would be a change for you. So is Tampa Bay.
On the east coast nearly all beaches are nice, it just truly depends upon what you want. I don't like Daytona, but that is my personal bias. Not a huge fan of Jax either.
Vero Beach (actually it's Orchid Island if we are talking Disney) is a perfect beach getaway for me, but that is because I am quite content to roam the beach and just laze about. There is NOTHING else there to do! Vero Beach the town is quiet and not a tourist place at all. Not that one couldn't stay there, but it's seriously snooze-ville.
New Smyrna Beach is pretty nice. Kind of middle of the road. However, they tend to have really strong currents (the man and son who were swept out to sea were just off New Smyrna) and a higher proporiton of shark encounters than any other Florida beach.
Satellite Beach is a sleeper, but very nice. It's just south of Patrick AFB.