The central part of the country was actually my favourite part of the trip - much more so than the big cities, which were pretty hectic. Nha Trang is a great little beach resort town with a surreal twist - it's extremely popular with Russians. You'll almost see more Russians than Vietnamese people and a lot of the signage includes Russian translations.
Plus there's a very kitschy and cool gondola, held together by miniature Eiffel Towers - it wasn't something I got a chance to try, but I definitely would if I went back.
Hoi An, was another of my favourites - in fact it seems like everyone's favourite. There are all sorts of beautiful fabrics on display and you can get practically anything tailored for extremely reasonable prices. And be sure to try their local noodle speciality, Cao Lau.
Hue is also a very interesting, historic city, once the seat of Nguyen Dynasty emperors and the national capital from 1802-1945. The Forbidden City is a fascinating place to walk around. The Thien Mu Pagoda, or the Pagoda of the Celestial Lady, is also a must-see. It's the tallest religious building in the country and an icon of Hue. Back in 1963 it was also a hotbed of anti-government protest, due to discrimination against Buddhists at the time by President Ngo Dinh Diem. Also on display in the area is an Austin Westminster car, driven by Buddhist monk Thich Quang Duc from Hue to Saigon, where he set himself on fire in protest.
Vietnam is a rewarding place to visit, but the darker elements of the history can be challenging at times, so it's best to be prepared for it.
Overall, it sounds like a low season trip is well worth it - don't let a bit of rain bother you.
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