I thought about that idea, actually. I was hoping that my Golden Rod would have a DC-style barrel connector that I could just remove and replace, but alas it appears to be hardwired - but I'll take another look just to make sure.
I consider myself competent with a soldering iron, but I don't remember the last time I soldered something that used AC power...
Mine came with a Radio-shack style clamp plug for the receptacle end. Even if yours didn't, Soldering and heat-shrink insulation would probably be fine, but there are aftermarket solutions that don't require it.