I’m happy to help. As mentioned above, November is a very tricky time for a sunshine holiday because so many of the better places have their rainiest season then. I agree about the DR. It’s an excellent place for big all-inclusive beach hotels, but outside the hotels there isn’t much of interest unless you are fluent in Spanish and hopefully know a local. One you might consider is San Juan, Puerto Rico combined with some stops elsewhere on the island. November is part of the rainy season there as well, but I don’t think it rains all day very often. And the city of San Juan is excellent for nightlife and things to do, so even if you get a couple rainy days you should be able to find some things to do. By then it’ll be over a year since the hurricane and San Juan has already been close to normal for a while now. There is still some damage, but it would be easy to avoid.
If you're determined to travel during the holiday periods, though, book your vacation flights, hotels, and cruise far in advance. If it works with your schedule, fly on Thanksgiving Day or Christmas day; those are the least crowded days of the holiday season. And if at all possible, avoid traveling during weekends, on the days right before or after the holiday, and late in the day. It's not only crowded at airports but also northern storms can wreak havoc and create weather delays that cascade across the system.
From November through February there are literally no European cities that could qualify as having “great weather.” We list Tenerife below because it's technically in Europe, although not really much of a cultural destination. Antalya, Turkey (which technically isn't even in Europe), has the closest thing to a sunny climate with acceptable temperatures. So during the winter Europe is all about cultural tourism, and lower hotel prices make it especially appealing for those who like to stretch their travel budgets and avoid crowds at the same time.
Impressive year-round, November in Sedona is a feast for the senses, offering perfect temperatures and colorful fall foliage along with its majestic red rocks. Sedona is rich in wellness activities, spa treatments, art galleries, and locally-made arts and crafts. Along the Verde Valley near Sedona, quaint wineries with passionate winemakers offer personal tours and tastings. Red Rock State Park, a nature preserve with stunning scenery, native vegetation, wildlife, and a wide variety of birds, is popular with hikers. Visitors can also tour by jeep, horseback, hot air balloon, or helicopter. Many travelers hike among the red rocks seeking the much discussed vortexes—places of energy that are said to come directly from the core of the earth. Whether they are truly healing areas is not clear, but there are believers who experience spiritual effects and others who simply enjoy the breathtaking views. L’Auberge de Sedona Resort, centrally located in Sedona’s Red Rock Country, provides access to these activities in addition to both fine and casual dining featuring seasonal menus and locally sourced foods. Accommodations are available in the main lodge or in secluded cottages with panoramic views and exquisite rustic indulgence.
From Atlanta, the places that come to mind with the theme of “nature” would be Costa Rica and Belize. Costa Rica is probably the better choice, as it famously has around a third of its land as natural parks. Much of it is jungle, and they have all sorts of activities including zip lining, but also canopy tours and much more. There is also the Arenal volcano there, which is really nice and has some fun hot springs around it. They also have beaches, of course, but there is plenty in the interior of the island to keep you busy. If you know a bit of Spanish, it helps, but most other visitors know little or none.
Southeast Asia is easier to deal with, and there are cheap flights connecting in the Middle East and landing in Bangkok, Kuala Lumpur, and Singapore. Each of those is a very interesting city, and there are many smaller places to go in the same region. In Malaysia there is Penang and Melaka. In Thailand there is Chiang Mai and quite a few others in that area. In Laos you can visit Luang Prabang, which sounds like it could be a winner for you. And there is also Siem Reap, which is home to the amazing Angkor Wat temple complex.