My wife and I carry one MSR Titan pot between us, 1.5 L capacity. It is enough for all our needs, including melting snow. I collect lumps of hard snow beforehand in the vestibule where I cook and feed them in one at a time. Every so often I bale out some water into one of my PET bottles. Works just fine.
Yes, that means I have to pay attention to the stove while melting snow - but you be paying attention to your stove ALL the time anyhow.
> Make sure you save some starter water for snow-melting too. My group put way too much
> snow in to the pot too fast with too little water, and it took almost literally forever
> to melt and then get boiling for cooking.
'Literally forever'? :-)
Even so, I think you may be mistaken. It takes as much energy to melt the snow as it does to bring water to the boil. That means a long time with the stove, and you know about 'watched pots'. Starting with a lot of snow in the pot won't alter that at all.