We've had rescue dogs in the past from breed-specific charities such as ridgebackrescue.co.uk whilst they did a visit to check we were suitable and were who we claimed to be, once they saw photo's of our previous dogs and met the GSD we had at the time, they were more than happy. We haven't a massive garden but having photo's of Ruby (our GSD) out & about showed that we were no strangers to the countryside.Have you thought of trying a bit closer to the UK perhaps?
Mate of mine in the SE bit of the UK spent ages visiting Dogs Trust etc, even up as far as Yorkshire, all there seemed to be to him was ex-pikey whippets and similar and the obligatory pit-bulls.
Came over to France on hols, we visited a couple of local places and he took home a setter cross pointer.
Homes here are only licensed for so many dogs so they are glad to see one go out so they have the space to take another in.
His poor lad was wandering the streets for 3 weeks until they had a space for him in the refuge.
Settled in to the UK fine, his chip is re-registered and they come ready chipped with passport and no knackers.
We seem to get a wider variety of breeds in the homes here too.
(Just a thought perhaps for when all this kerfuffle is over)