There are still some guys around who are driving original Speedsters - mostly gray-haired folks who got them 20 or 30 years ago before prices became eye-watering.
For the most part, almost anyone who buys one today is doing so for the concours circuit or as an investment, and not to drive the thing.
If you're looking for the 'authentic vintage driving experience', just about anything you can find for that money will be better bang for the buck - stuff like early 911s, E-type Jags, or even some Ferraris.
If you must have the Speedster look and the raw vintage driving feel, but weren't gifted a trust fund, a replica is pretty much the only thing that makes any sense.
That said, you should do some serious research into just what that 'raw vintage driving experience' really is. A lot of guys jump in thinking this is something like a real car and end up disappointed. A LOT of these cars are back on the market again within a year or two with a thousand miles on the clock or less.
And then, there are $20K replicas, $100K replicas, and everything in between. There are some good reasons for that.
Read through the archives here, find some local owners, bum some rides, and give yourself some time. They're not for everyone. They're not for most folks. It takes a certain kind of crazy.
And tenfold if you're in Florida. I'm in California's central valley - hotter than Florida, but no humidity. Here, there are 'Speedster days' and days which are not. You can add AC and some semblance of weatherproofing, and try to drive in all conditions, but you probably won't be happy doing so.
I think the best advice is to not be in a hurry to jump in. Take the time to learn what these silly things are all about.