Are you sure you want to let soldering stop you from a fascinating hobby? It does cost a few bucks (less than $100) for a good soldering iron. And you need to practice a little. But it's not hard to get reasonably good at it. Get started, and before you know it, you're designing and ordering printed circuit boards yourself.
I too started from a software background. But my latest project has me using a BeagleBoard microprocessor to send data to four separate RBBB Arduino microncontroller to drive four relays that turn off and on the lights, horn and windshield wipers and washer for a car. There was some soldering to do, but not much. And it interests more than any other hobby I have considered taking up.
Wire-wrapping does work fairly well. Early Apple computers were mostly wire-wrapped, except that Steve Wozniak soldered the boards he made. But if you don't like to solder, you won't want to wire-wrap. It's six of one, half dozen of the other.