Weirdly enough, Central America and South America aren’t really known as top “culture” destinations, as the colonial history has mostly wiped out the indigenous history in the larger places. There are Aztec, Maya, and Inca ruins and sights, but not really enough to build a whole trip around. I’d say the most interest of those would be the Inca culture of Peru, specifically around Machu Picchu and the valley around Cusco. Alternatively, visiting Argentina is pretty much like visiting Europe from a culture standpoint. It’s quite nice there and prices are low if you know about the blue market for currency, but otherwise it may not be what you are looking for.
Interestingly, December though February do get a bit cool in Cairo, so it's not a great winter break, but in November it's still pleasantly warm and bone-dry so you can enjoy the outdoors for long periods of time. If you don't mind staying in a locally-owned hotel you can save a lot of money and see some old-world charm at the same time. Reservations in advance aren't necessary, but it's best to book your first couple of days just to avoid all the confusion once you arrive.
Another tip is to look for apartments. If you’re visiting a large city, chances are they have plenty of new apartment buildings that are looking to rent out. Many of the larger hotel booking sites will offer you apartments for rent – and they’re very affordable. Not to mention, they’re much roomier and more than likely updated. You usually get a full kitchen, washing amenities (for laundry), a dinner table to sit and eat at, and a good sized bathroom that doesn’t make you feel cramped.
Two other suggestions would be India or Sri Lanka. Except for a few beaches in Goa, neither of those attract the party crowd, and both are excellent for scenery and culture. India is cheaper as long as you minimize time in Mumbai and other big cities, but that is good advice for many reasons. Sri Lanka is a bit better organized, and on your budget it is good value and easily affordable. There are good beaches along the south coast of Sri Lanka, but India is probably better for beaches.
While the Caribbean destination tends to overflow with families during the holidays in December, go a month earlier and you’ll be treated to sunny days sans screaming kids, plus less expensive airfare. “November is my one my favorite months. The hustle and bustle of high season hasn't kicked in, average temperatures are in the 80’s, and the water temperature is lovely,” says Michael King-Hew, the proprietor of Kamalame Cay, a private island resort in the Bahamas. King-Hew specifically suggests for the resort's annual wellness retreat. “It’s the perfect way to get rested and in shape before the start of the hectic holiday season.”
“Winter in Eastern Canada” might sound more like a 19th-century prison sentence than it does a pleasant vacation, but Quebec City does the cold better than anywhere in North America. Blanketed in snow, QC looks like the world’s most elaborately constructed Christmas village. The cobblestone streets in Old Quebec densely packed with storefronts beckoning you to come in for hot food and baked goods, and boisterous bars overflow with a cacophony of Quebecoise. In December the streets are draped with Christmas wreaths and populated with carolers, plus there’s an authentic German Christmas market -- a true novelty in a city so overwhelmingly French.
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.
The rainy season is over so it's an ideal time to base yourself in Chiang Mai for some outdoor activities in the area. There are temples like crazy in the city center between the old walls, but even more interesting ones in the area just around Chiang Mai. There's also great trekking and such, available quite affordably from any travel agency in the city.
November brings the annual Vodafone Mexefest Music Festival (Nov. 24-25), a gathering of popular artists in venues throughout Lisbon. The Lisbon & Sintra Film Festival, in its 12th year, is a celebration of cinema with directors, actors, artists, musicians, and writers in town for the event (Nov. 16-25). Billed as the “largest technology conference in the world,” Web Summit began in 2010 as a way to connect industry and the technology community (Nov. 5-8). The year’s new wine and the ripening of chestnuts are celebrated with the Magusto, on Nov. 11, St. Martin’s Day. The holiday spirit becomes apparent at the end of the month, with colorful lights and roasted chestnut vendors along the streets.