I'm not trying to argue Scott but powdercoating will not hurt that frame, the temps are far lower, welding uses much higher temps than brazing and way more than a powder oven, its very common to powder coat race car frames, and bike frames, even alloy. With welding you are melting both joined surfaces at very high temps, this can and does cause distortion this isn't the case with brazing..
The metal would haver to be very thin walled to warp {if at all} in the time it takes to cure powdercoat, much thinner than a race car chassis....