i really really wanted a black mini flap for my birthday (last month), but i called London boutiques regularly since April, Manchester said their waitlist was closed and to try next season etc. I had a purchase history but still no one seemed interested in helping me. I went on holiday to Dubai in September and found a gorgeous mini top handle at the airport and fell in love, i bought it immediately. When i went to the boutiques in Dubai, they didn't have mini flaps but were willing to text me when it was in stock straight away. I would have put my name down, if i hadn't already purchased the mini top handle
I feel like its easier to get mini flaps abroad than the UK
I wasn't actively on the hunt for a mini, but like yourself, I was in Dubai in January 2020 and managed to get a black mini square with shw and they seemed to have a few available for me to choose from. I also paid slightly less than the UK at the time which was a bonus.
I was also in Dubai in September too and they had plenty of mini rectangles to offer so it's always worth asking.
With us now being out of the EU, it's definitely worth having a look when you're on holiday abroad as you can get the tax back and some styles which seem to be popular here aren't always hard to get overseas.