Surely it would be better to use one or the other, only, rather than a mixture, for quality?
Using an arc-welder suggests these are fairly hefty components that could be welded anyway. The possibility of the solder not taking around the tack-welds suggests the joint does not need be fluid-tight (gas or liquid).
Since the problem appears to be one of work-holding, make simple jigs to hold the parts together.
Another approach you could consider, whether silver-brazing or welding, is to use a few judiciously-placed, small screws tapped into suitable points. This obviously depends on the nature of the components, but the screws can be cut off and finished flush afterwards if required. It also keeps the joint faces clean – which they might not be if partially welded, due to any welding flux that’s penetrated the crevice.