Russell, no you couldn't melt the silver solder even with an LPG burner, you have quite a large lump of metal filled with water, and the fuel should run out before the water. There should be quite a bit of water left after a run, and when you refill the burner, you refill the boiler.
I had a little tug boat with an equally small boiler, and sailing it one day forgot to refill the boiler, and sent it off with a full tank of meths, 10 minutes later the pipe from the boiler to the engine fell off (soft solder), took quite a while for the boat to drift ashore. Ian S C Here the motor 1/8" bore, 3/8" stroke, sorry it's a bit fuzzy, got a bit too close.