That’s the thing, if you lost your laptop and needed one immediately, Hashtagnomads (or any other online forum/chat related to the location) would be a great place to start off. A quick “need a computer ASAP, mine was stolen” would get you a better response than dealing with locals. It happens all the time at the moment. I regularly see calls for local expat help pop up in chat/facebook/forums.
There is no universal solution to this problem. I doubt it’ll ever happen. The business model alone wouldn’t be economically sound. Larger cities will give you better options, but most popular cities to DNs will result in a wait till the next working day when you can buy a system at a computer store.
Taskrabbit-esque services barely cover the planet and IT suppliers have different service deliverables for different locations. Even mega corporations like Apple and Microsoft don’t operate service centres in every country.
In any case, hiring a virtual windows 10 machine and remoting into it would be the fastest option. You can install whatever you want on it and work off your phone if need be whilst you’re in the back of a tuk tuk heading towards the closest PC store.
Perhaps the wrong question is being asked here. Firstly, existing nomads really don’t operate on a last-minute schedule like that. The task doesn’t suit the lifestyle. Like any business, nobody should be operating on a platform that will instantly dissolve if a fault occurs. Nomads have to be accountable for delays due to shoddy internet, travel, culture shock, drunken hangovers and a myriad of other problems. Stolen gear happens, stay calm and deal with it in the morning.
Losing 12 to 48 hours shouldn’t impact a nomad’s schedule. If it does, they’ve got bigger problems to worry about than a missing computer.