According to Google there is a Dubai store and it appears from the page they are now selling Surface in UAE.
To fix it yourself you'll need at least one USB probably 8GB
If nothing else walk out of there with known good Recovery USB and Windows 10 Media USB.
When is your day in Dubai?
Start communicating with them, make an appointment, explain you have limited time.
Ouch! That's not a day Doesn't sound good for making a store visit.
When would you have the ability to download an image? There's some other stuff you should probably grab also so you can get the updates etc. It sounds like opportunities are slim and I'm sure you do not want to spend all your shore time doing that
Do you have contacts in Dubai that could prepare a care package for you?
Like you said it's complicated... here's the knife in the back... because it came with 8.1 you can only download an 8.1 Recovery Image (dear MS please change this) so Id recommend using the W10 Media Creation Tool downloading the Windows 10 installation image and the Surface firmware & driver pack. Then you can wipe the disk on your Surface and install Windows 10 and update it. Oh wait... did Windows 10 ever activate on your Surface? if it did then there's no worries. If it didn't ever activate then it's more complicated...
use that Dubai shore time to get you a working entertainment system
There is one other possibility ... although I'm not sure it works or what the steps are at the moment... when reverting to 8.1 from 10 especially since I'm not sure what state it's in... I have an SP3 to try it on to see... It would involve using the W8.1 recovery partition if it's still there and accessible.
Back to the questions....
Did the Windows 10 installation complete?
Did it activate? Usually it will activate when its' online for a while after updating to Windows 10.
if it never activated we should probably recover back to 8.1 otherwise it likely wont activate.
Do you know if the W8.1 recovery partition was removed or if it's still there?
Ok . I'll work on a procedure... and see if @jnjroach has anything to add. If it doesn't work, no worries, we can still do USB method. probably wont be till tomorrow at earliest... have to kill a triathlon training event and a few other things today too.