I enjoy riding my commute, but I do have the out of a car. So when we have a storm blow in like tonight, I can opt out to drive. My commute is only 8 miles, whereas yours is half again as long. In pleasant weather, I would welcome the additional miles, but my schedule allows me to ride to and from work, without a lot of evening activities, etc, no kids at home, so forth. You will have more places to go and things to do, so the bike will have to share you with other transport options.
I have access to a shower at work, otherwise I doubt I could ride. And we don't even know how to spell humidity here in Oregon, not combined with the warmth you have in FL. So that would be a challenge if you don't have a way to wash up once you get to work or to class.
You don't necessarily have a simple equation to solve, but the bike can be a real fun way to make things work. Dunno about car-free living - I don't think I am quite there yet, though down to driving only two or three times a week (and ironically, one of those trips is to the next town over for Saturday group rides....)