Take your time and search around for a while.
If you go with a GENI, there are also some heat mods that can be done. I have done the cromeit heat mod, and it certainly helped. There is also a tank blanket that can be had on ebay, if you can still find one. If not I think Smitty makes them. If the Connie is anything like my blackbird, you'll be very pleased with the amount of heat on a GENI FJR in comparison. My BB is a cooker!
One thing I really liked about the GENI, is that is has a slightly shorter wheelbase and slightly more peg clearance. In order to make use of this, you will however, have to install aftermarket suspension. But once you do, you'll be amazed at what these bikes are capable of.
You may be able to find one that already has suspension upgrades. That is priority 1 for me. But if you plan on doing a lot of touring, and not so much sport riding, then look for something with comfort mods, such as a russel seat, or heli risers, and an aftermarket windshield.
Either way you can't go wrong, but if you can afford it, you might just want to go with a GENII, especially if you like to ride in the summer. I'd also say ABS is a must, if you use it once, it's totally worth the extra $$.