Squarespace does not have a supported solution, but I have figured out how to get to a solution.
Navigate to the page that and end-user would use to display the product collection, and append the following to the end of the url: “?format=json-pretty” This will download a file that you can work with that contains all of your products in it. It also contains pricing, weights, and other info. I believe it also contains variants, but have not yet confirmed.
This could be used in one of two ways: