It can still be rainy in Belize in November, so it’s not an ideal time to visit. I quite like Belize and there is a lot to do there, including of course the second largest coral reef in the world. You can also head over the Guatemala border to visit Tikal and even down to Antigua for something different. You don’t get many great beaches there, but aside from that it is great.
But again, Vietnam can be a bit complicated for first-timers. Specifically, you need to book trains and tours through travel agencies, and Vietnam’s many travel agencies have a worldwide reputation for being hard to trust. They are all great salespeople but the product they deliver isn’t always what you expected. I spent 4 months in Vietnam and loved most of it, though I think it was much easier as a solo traveler who didn’t have a set schedule.
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If a warm weather getaway sounds appealing, consider seeking the sun in Cartagena where summer is approaching. The South American city offers history, Christmas spirit, and unique gifts for holiday shopping. Sun-drenched Phuket, Thailand’s popular island, is a place to relax during the day and party at night. St. Bart's in the Caribbean is recovering nicely from hurricane damage, an ideal spot for a winter vacation. Miami’s December weather is perfect for a warm Christmas, and Art Basel, early in the month, is an exciting time for fans of contemporary art. In Santa Barbara, a few days of pampering might fit the bill, or you can join in their holiday festivities throughout the month. Death Valley, in the middle of the Mojave Desert, offers a respite from the crowds and a chance to enjoy quiet days and starry nights.
Fortunately, Bangkok remains very cheap by almost anyone's standards. If you want to splash down for a nice 3-star room then it'll be half the price of a similar room in Europe or the US, and if you are fine with something more basic then you can find a room for next to nothing, even in the fun Khaosan Road backpacker district. Street meals for around a dollar are always there too, so you'll be able to afford a bit more for a room anyway.
We flew with EasyJet and I was pleasantly surprised at the availability of keto food on the flight. I got a tapas box which had jamon serrano, chorizo and a tomato salsa that was, amazingly, sugar free! It was plenty to keep me going until we had dinner at the villa that evening. I didn’t track my carbs on this trip because I was eating keto the whole time so even when I went over slightly I wasn’t massively over. I also spent a lot of time swimming in the Mediterranean Sea and it was so hot I think I must have lost 5lbs in sweat alone! Sorry.
If you have a budget that allows at least US$300 per night, you should be able to rent a nice condo in Hawaii. If you haven’t been there before, it’s worth knowing that each of the 4 main tourist islands is quite different from each other, and only Oahu has an urban center that should probably be avoided. You’ll want to rent a car as well, as getting around is difficult without one.
Yes, Australia is pretty expensive by most standards, although it shouldn’t seem too bad since you are coming from Singapore. Hotels in Australia are pretty expensive no matter where you go, although quite a bargain compared to the same thing in Singapore. Restaurants in Australia will seem quite expensive compared to the hawker centers, but not bad compared to Singapore’s sit-down restaurants.
You would probably get some rain in Cartagena in November, but mostly in the first half of the month, and even then it tends to come down in short bursts rather than all day, so it’s usually easy to avoid. I love Cartagena for trips like this because the walled historic part of the city is really lovely and fun, with plenty to see and do. The nearby beaches are big, but the sand isn’t white and fluffy, so they won’t make too many “best beaches” lists. It’s also very cheap there, and especially at the tail end of the off season like that. As long as you don’t mind the possibility of a couple of quick rain storms, it should be great.
I’m happy to try to help. It’s hard to say whether one 30-day trip would be better than several shorter trips. On one hand, it’s much more efficient to go for a month because it obviously saves you all the going back and forth. Also, one week is a short time to go 7 or 8 time zones away, as it takes pretty much an entire day each way, and at least a few days to adjust to the time change. Hmmm…

If those flights are too expensive you might think about going somewhere else in Mexico or to Costa Rica. The area around Cancun including Playa del Carmen and Tulum and Cozumel has a LOT going on. And if you’ve been there you could instead go to the Puerto Vallarta area, which is very different and also great. For activities though it’s hard to beat Costa Rica. I think they invented zip-lining and the country is about one-third national parks with all kinds of fun activities. Let me know if you have any other questions. -Roger

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.

If this were last year I might have also suggested San Juan, Puerto Rico or Cartagena, but both of those have issues at the moment. If for some reason you don’t like what you see in Costa Rica, there are also some really nice resorts in Panama, especially in the San Blas Islands area. Aside from those you’d probably have to fly longer than you prefer. I hope this helps. -Roger 
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