I am in VA, but i wouldn't try to braze brass for the reasons Jerry mentioned. Instead, I use a brass colored silver solder that I get from Rio Grande. I think I have a little bit of it. Do you live anywhere close to Mechanicsville? A better question, is do you have the parts tightly fit and ready to braze/solder. Solder is not for filling, it is for joining, and you need a tight joint. When I forge braze iron butt pieces, I can use the brass to fill because that is what I do with the heel; I fill it with brass. You don't have that luxury.
For full disclosure, a solder joint is not going to be completely invisible. It might be nearly invisible when polished, but as everything tarnishes, the color of the silver or brass and the solder used will be slightly different. The best bet is always to get as tight a joint as possible so that the seam is extremely thin.