There is still a FLDOT, but it operates only as the roadwork guys. It could also possibly be the FL DOT Road Warriors?
FL DOT CVE merged with FHP. It would not be these guys, as they are both digital and encrypted talkgroups.
You are hearing the EDACS system. The talk groups they are using are analog talkgroups, which is why you are able to hear them. Most talkgroups on the system are digital and the sites themselves cannot be monitored due to the way the Sitepro controller encodes the control channel, even though it is basically a traditional EDACS system. However, if it is an analog talkgroup, as long as you are tuned into the frequency that the traffic is going through, you will hear the traffic. (Though you will also hear a lot of digital traffic)