In the 1980s, I used a “Solar Shower” quite a bit on group trips and while car camping. Left out all afternoon (or on the flat spot under the rear winder of a car), it would get too hot to use as a shower without being diluted with cold water. It’s clear plastic on one side and black plastic on the other side. So I know that configuration works well.
The packaging on all of them is deceptive, because they never include the naked model in the photo.

I concur with Edward that insulation from the cold ground below is helpful, but while that can be CFF, it could also be any other bit of gear you’ve got along – an inflatable sleeping pad, your pack, a sweater, or just some branches.
All the versions I’ve seen are a bit heavy since they’re made from vinyl and not, say, sil-nylon.
Used for snow-melting, just like snow-melting in a pot, warm water is your friend – a slushy mix of snow and water is vastly more dense than dry snow (up to 10x denser), so saving some liquid water from your last batch to treat your next pile of snow speeds it up a lot.
If you’re inclined to DIY / MYOG, I’d start with a wine-in-a-box liner and paint the back of it black. It’s a pretty sturdy bag and gives about one square foot of area (10″ x 14″) per 3-liter bag (Black Box brand, some Gallo products come in larger sizes). Carrying 3 or 4 of those would offer more surface area, faster melt times, lighter total weight, and better redundancy than the “Solar Showers” from the camping aisle at Walmart / Cabela’s.
Or, to repurpose a cheap off-the-shelf item, there are black dry bags with clear windows. Here’s a PVC one that’s not very light (10-liter $14 12.5 ounces 350 grams; 20-liter $18 16.4 ounces 460 grams):
Far lighter would be one sold as backpacking gear. I sent one of my Hyalite Equipment 25-liter “Pneumo LTW Window” dry bags (15″x27″ 130 grams) to Antarctica with my wife in January, mostly for its window giving better visibility of what’s inside and it has a burp valve to make everything small. But all my web searches for that make and model now say “no longer available”.

The more I think about it, the more strongly I’d suggest you go with some kind of dry bag. You could literally SHOVEL the snow (pond ice, icicles, etc) into the bag through that full-width opening, unlike anything with a 1″-2″ opening. The window probably helps, but just a black sil-nylon dry bag will work well.
Also, I’d REALLY lean towards, say, three 10-liter bags rather than one 25-liter bag. More surface area, more redundancy, and lower stresses on the seams of the smaller bags holding less water weight.
It wouldn’t be wrong to lay such bags on top of aluminum foil. How much that helps depends on how much you can focus the sun using that reflector and my experience building “Solar Death Rays” is that aluminum foil, once crinkled just a little bit, is both a reflector but also a diffuser – it sends the light in many different direction even when it seems flat to you.