A lot depends on what your silver solder wire actually is. Silver solders come in lots of grades from "extra easy" (mp 670) up to "hard" (mp 760). The normal braze alloy for model engineering is AG455 which melts at 650. If you use that with EF flux it's pretty much self-indicating – the flux will dehydrate to a white, fluffy powder on heating and turn to a clear liquid when the work is hot enough to melt the braze alloy. So apply flux as paste, heat gently till it dehydrates then as strongly as possible until the flux turns clear, then apply the alloy – use the work not the flame to melt the alloy.
I'd be very cautious about using house bricks for a hearth – they can contain a fair bit of absorbed water which boils and cause bits of brick to come flying off. The compressed vermiculite blocks are good or you can get proper firebricks very cheaply. With half decent insulation, a MAPP torch should have no problem brazing a job like that.