Melting Tin and Copper isn't a problem given enough heat and a suitable crucible, and the Tin won't vaporise unless the furnace is run far too hot. (Shouldn't be a problem unless Oxy-acetylene or an Electric Arc is used.)
However, Zinc fumes easily, and it's dangerous to breath it. 'Brass Founders Ague' was one of the first industrial diseases, and it's still a problem today – chaps poison themselves welding Galvanised Iron. The 'special process' is keeping the workforce away from the fumes. I don't think melting a small quantity in the open air whilst standing well up-wind of the furnace is too risky. Doing it in a small garden might worry the neighbours though!
Scrap Brass (such as old water taps), melts more easily than Copper, so I'd start with that. Then add Tin. It's usual to add a little Zinc during the melt to keep the alloy proportions about right because Zinc slowly evaporates.
How to get 86% copper, 11% tin and 3% Zinc? I think the Ancients got the mix right by experience – either able to judge how much Zinc was lost over time from a given mass of metal in their particular furnace, or perhaps by recognising the right moment from flame colour or how the liquid poured. I guess a modern foundry would use a horribly expensive spectrographic gun to measure the proportions accurately.
The 'gunmetal' may not need to be accurately made for amateur purposes, but if it is, might be done by weighing a known volume and checking the alloy's density.
Dave