Well, these shrimp are endemic to North America, mainly in the middle-latitude states such as Mississippi etc. They can certainly survive in water as cold as 65 degrees both in my experience, and they must if they live in such rivers and lakes/ponds.
A small container with an air hose should be sufficient. You don't want to filter these guys to kingdom come (they're small), and they really don't need a whole lot of chem or other filtration since they possess so little biomass. Others may disagree with me on this, of course, but I stick by my assessment that they're tenacious, hardy little shrimp.
So, you could place the female in a 1 or 2.5 gallon tank, or even in a small plastic tupperware dish with just water (gravel will make it harder to see the eggs) and perhaps a few leaves or plant stems. This should be sufficient. Watch the babies grow. At first, they'll eat whatever they can find. If you really want to culture baby daphnia or brineshrimp they might eat this eventually. And the occasional sliver of an algae wafer would be in order too.
Good luck!!! This shouldn't be terribly difficult, but don't get discouraged if they don't make it the first time. The females are pregnant quite often. Just keep your eye out.