I bet the blowers will be fastest. Blow 95% of the leaves into the woods, then go over the lawn with the mower to suck up the last few leaves.
If you do it weekly or so, you can run the blowers for 10 or 15 minutes, then just mow the lawn as usual, in the usual amount of time.
An 8 or 9HP walk-behind blower will be fine, and will fire the leaves a good 20 feet into the woods, and disperse them nicely. I'd suggest a huge backpack, like a BR600.
The thing with a cyclone rake is that you will develop big piles of leaves wherever you dump. And I'm not sure that you will use it for anything else all year, where a backpack will be used all year.