So it's not exactly romantic but it is cheap and clean and cute and has a great location...my aunt and cousin stayed at The Jane in the West Village when they visited last summer. Rooms are as low as $99/night, I believe, but they have bunk beds and are 50 square feet, which again, isn't ideal for say a honeymoon. The bathrooms are down the hall as well. They offer a larger room type but it's much more expensive, like $200+ so no longer in the remarkably cheap category.