I am 6'2" and 225lbs as well. I have an 06 1000s. I have had the valving replaced with Ohlins superbike valving and had the fork and rear springs changed for my weight and riding style. The bike handles like it is on rails. I couldn't be happier with the handling.

Suggest that at your weight you ...

As far as the 620 vs 1000/1100.

The 620 is cheaper to insure and gets better gas mileage, some things you may be considering.