It really depends on the temperature of your chilling water. Here in SoCal, even in the dead of winter, I need to recirculate through my plate chiller to get down to pitching temp. Which is actually a great way to chill, it just means you need a pump. (Which is an amazingly handy brewing accessory anyhow.)
You can also pre-chill (and/or recirculate) your cooling water, but then you need ice...to me the pump is a better investment than extra chilling coils and ice. Furthermore, I like that the near-boiling wort does a nice job of sanitizing my chiller and hoses.
OTOH, lots of guys in colder climates use gravity with CFCs, and get down to temp in one pass. Some even have to throttle back their water to keep from over-chilling.
Congrats on the Blichmann!