There are some good modern Links. I have a very good STM NY that only needed to have the table leveled.
Getting a Florida does not assure a quality facing. The Florida STM pieces have a somewhat different tone than the modern Links. You get a Florida for the sound, not the facing. I bought a Florida to get that "core sound" that seems to be much less defined in the modern STM's.
To assure a really perfect facing on just about any factory-made piece, it will need to be inspected and possibly hand refaced. The total cost of a nice new shiny Link STM NY and a simple reface job by EZ or Mojo is still cheaper overall than the price that most good Florida Links go for.