Weezard, I don't know much about electronics, but I can solder WAY better than your average bear. I've got a Weller WESD51 digital station and Cardas Audio Quad Eutectic solder. Cardas advises a small wattage pencil @ 700 deg F. for small connections. There's not that much total heat to dissipate but it gets the connection done quickly. It's worked well for me in the past. Looks like a piece of cake to me. I didn't want to use bigger supply wire than necessary 'cos to avoid dissipating excess heat into the the device (?)
I've got a big-ass gun too, but I wouldn't put that many watts on such a small package unless necessary. What say you?