There's not a perfect way to do this, obviously. FSU started playing in the 56-57 season, is that correct? My data begins in the 1938-39 season, to align with the inauguration of the NCAA Tournament. I'm open for suggestions, on how to refine this system, however.
So, FSU is missing out on 18 seasons. Yes, theoretically, you could be a little higher. It's also possible you'd have several losing seasons - and your cumulative score would be worse. As it was, the first 12 years of the NCAAT only had 8 schools qualify. The first time a school from the state of Florida made the tournament was in 1960. I'm doubtful FSU having an additional 18 years would have made much of a difference.
If there's any school that's being short-changed for a shorter history, it's UNLV. No question. Their first D1 season was 1969-70, and they've still managed 20 NCAAT appearances, 16 top 25 finishes, 12 conference titles, and 4 Final Fours. As it is, there are only a handful of schools that haven't been playing since the '39 season. FSU, Miami, VCU, UNLV... I may have come across 2-3 others. Not very many at all. I evaluated every program with 10+ NCAA Tournament wins, and everyone with a Final Four appearance.