You fail at vacationing, IMO, if you just do a week or so at a tourist resort in a tourist destination. Just based on seeing a lot of people who do very stressful work for a few months or years (I know a lot, thanks to war zone contracting and startupsa). The people who do a week and then back aren't as happy long term as the people who run away for up to a year.

To really recover, it is better to live like a local somewhere for a longer period of time. Assuming you are really burned out, it isn't like you are getting real work done anyway. You can also ease back into working from a remote location after a few weeks or months, maybe on another project.

Plenty of places where you can do this cost effectively (under $25 per day), the key being getting out of the tourist economy.