Our recommended hotel on West 44th Street, The Chatwal, at the edge of Manhattan’s Theater District, is scheduled to acquire a sibling next April. However, the new property will be utterly dissimilar to its art deco forebear, which was designed by Stanford White in 1905. In contrast, The Chatwal Lodge, 100 miles northwest of New York City, will comprise lavish but rustic suites, set next to a 1,000-acre lake, on a 30-acre preserve in the Catskills. The most distinctive of the accommodations will be a pine-and-cedar treehouse, with an outdoor deck raised 25 feet off the ground.