but when the person finally came to the phone she was not able to answer me,
You confused the issue by asking the wrong question. Class K licenses and security guard licensing/law enforcement training is not something the department of Agriculture and Consumer Services deals with as part of the CCW licensing process.
You might have well been asking the CCW clerk what the required tread thickness is on a dual axle trailer hauling hazmat material.
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I just spoke to the OP, and this is a rehash of the conversation.
As Jose would say, you've been hanging out in MA for too long, and this caused you to pick up the assumption that all states require a "state instructor's license".
Florida Class K firearms instructor relates to armed security instructor certification. FL does not require any specific FL certification to teach a course acceptable to obtain a Florida carry permit, and discussion of a Class K certification is irrelevant in this context - which is why you will have a hard time finding it in the CCW statutes.
The folks at e-how only get it half right:
http://www.ehow.com/how_6155867_florida-concealed-weapon-permit-trainer.html. What they say is true, but they done mention that meeting ONE of the three requirements listed (#2 on their list being the easiest), not all three.
FL statute 790-h contains the requirements:
(h) Demonstrates competence with a firearm by any one of the following:
1. Completion of any hunter education or hunter safety course approved by the Fish and Wildlife Conservation Commission or a similar agency of another state;
2. Completion of any National Rifle Association firearms safety or training course;
3. Completion of any firearms safety or training course or class available to the general public offered by a law enforcement, junior college, college, or private or public institution or organization or firearms training school, utilizing instructors certified by the National Rifle Association, Criminal Justice Standards and Training Commission, or the Department of Agriculture and Consumer Services;
4. Completion of any law enforcement firearms safety or training course or class offered for security guards, investigators, special deputies, or any division or subdivision of law enforcement or security enforcement;
5. Presents evidence of equivalent experience with a firearm through participation in organized shooting competition or military service;
6. Is licensed or has been licensed to carry a firearm in this state or a county or municipality of this state, unless such license has been revoked for cause; or
7. Completion of any firearms training or safety course or class conducted by a state-certified or National Rifle Association certified firearms instructor;
An applicant may meet the requirement by supplying a copy of an NRA certificate (#2), or a MSP Basuic Firearms Safety certificate (#7).
So, in other words, you are already good to go.
If you combine it with the UT course, I suggest you run the UT course without alteration, declare that course complete, give the students a break and then have them come back for the rest. The UT licensing unit has made it clear they do not approve of "combined classes" where the UT material is intermixed with material designed to meet other state's requirements.