A Kwak 636 is not a touring bike, unless you regularly tour on less than a tank of gas. Not recommended.
You have a wide choice, the VFR750 which seems to be everyones favourite, or an early 800, not sure about price of those though. Also there's the Triumph Sprint, which Ride magazine once reckoned above the VFR. The Yamaha Thunderace and its 600 brother the Thundercat make pretty damn good touring tools (200 miles per tank on a T/cat), and you can pick either one of those up for less than 2k. Like the other guy said, a CBR600F.
I would recommend you stay away from something fandango as since, no offence, you're a "born again", you need something a little more sedate so you can get back into it again. The mistake some of these "born agains" make is buying the latest, fastest, lightest tool and ending up in the side of a tree/bus/car/lamp post, which we dont want.
I'm sure there are a couple of other bikes that make the grade but I cant think of them right now.
Hope to have been of some help in your quest for motoring freedom.
