What I do to attach a threaded rod or other extension to a stainless tang is weld it on with a MIG wire welder. I know the welder guys will freak out, but I just use the regular wire for general welding, even if the tang is stainless. The rod is usually just some thread-all, but sometimes it is a shaped piece of steel with the end threaded.
I clamp the blade between two pieces of steel to keep the weld spatter off the blade, and weld away on the tang. After the weld, I dunk the blade in water up to the ricasso to keep any heat from bleeding into the HTed blade, but not up to the weld joint, as I don't want to "chill" the weld. I then temper the blade one cycle at 350F to make sure the weld isn't brittle. After some grinding to remove my ugly weld excess, the tang has a solidly attached extension.
My normal method for attaching the rod is to cut a 3/4" long slot in the tang and set the rod in the slot. A few hammer blows and the rod will fit the slot snugly. Then I weld up the rod on both sides. After the temper, I grind the rod flat to match the tang thickness if necessary. Most of the time, I use 1/4-20 threaded rod.