This yields four small cheesecakes in 4-inch cocottes, ramekins, or springform pans. If you wanted, you could likely bake it in one 9-inch pie pan (not a deep dish or springform) for about 50-55 minutes, or until the outer third is set and the center jiggles gently; you could also bake them in a cupcake tin lined with cupcake liners for about 25-30 minutes, for about 9 or so miniature cheesecakes. Cheesecake will keep at least a week.
I used half fresh goat cheese and half creamy goat cheese to approximate the consistency of cream cheese, but I imagine that you should be fine if you only have one or the other on hand. In addition, if you wanted to splurge for a more complex taste, I think Vermont Creamery fresh Crottin or any of their aged goat cheeses would be spectacular.
If you did want to bake these in a water bath, it’s easy enough — just place all the cocottes in a 9×13 glass dish and fill it with about an inch of water, then bake it in the glass dish. But they should be fine either way.