lead free is piss poor Andrew, SS is a fairly poor conductor of heat, if you can get some flux for SS, and it should be a plumb centre item , I would use ordinary plumbing solder, the copper will pull the solder in and when the ss is hot enough it will be done! might need mapp, but you also have O/A! a google produced this:
Stainless steel can also be soldered or brazed to itself or to brass or copper, with good results. These processes provide good alternatives to the welding of stainless steel fittings.
But personally, I would solder it, as you can see the solder drawn into the joint, and add more, whereas the brazing metal tend to sit on top in the gap between the pipe and the boss, and could crack given the vibration from the pump. Long shot, but could you put a thread in it, and make up a bush to suit your plumbing sizes?