Personally, when silver brazing (which is what it silver soldering is despite the name), I use my oxyturbo kit (Oxygen + Fuel Gas [mainly MapGas]).
The OxyTurbo torch gets the subject material up to temp quickly and the silver solder (silver braze) flows nicely. I never have had success with a map torch despite playing around and trying the various tips supplied with it.
That said, I use 55% or greater silver solder (silver braze) and have had zero issues with the flux paste that I use. The diameter of the rod / solder wire depends on the intended use. Thinner wire is good for close/tight joints, bigger diameter wire/rod is good for building fillets or bridging gaps. Smaller diameter flows more quickly than larger diameter wire / rod.
The trick is to get everything to an equal temp that is just enough to flow the silver, no more, no less. You can actually see when you reach temp because the silver starts to look paste-like before it snaps over to flowing, like soft soldering, only at a much higher temp.
Managing temp is the key. You need to know what temp the silver will flow at and once you know that, you will know what heat source is required. You will also need to ensure BOTH parts are clean and both are at or within the same temperature range avoid joint failure through unequal stresses when it has cooled.
I generally allow silvered / brazed joints to cool naturally rather than quench, which can induce multiple stresses, then gently reheat to a lower temp temp using a map torch and allow to cool naturally once to more to stress releive the joint further. Never had a joint fail.
Either way, there will always be a HAZ (Heat Affected Zone) no matter what you do, you just have to be mindful of that altered material state.