You've posted in 'Law' (without actually asking a specific question). As far as the legal situation is concerned, I don't think that you've got any right to use a Sky dish if the housing association say you shouldn't have one. A similar situation applies with regard to any external short wave antenna. The housing association may find that there hands are tied by the need to have planning permission for more than two TV receiving antennae/dishes on the same building.
From a purely practical viewpoint though, until Sky X arrives in the UK (see here:
https://www.pocket-lint.com/tv/news/sky/148401-sky-x ), you can't access the full range of Sky services without a dish. However you can get Sky Witnesss, Sky Documentaries, Sky Crime, Sky Arts, Sky Nature, Sky History, Discovery and National Geographic (together with 8 other channels) for £9.99 per month through your internet connection with NOW TV:
https://www.nowtv.com/watch-tv-series-online
As far as short wave listening is concerned, an indoor loop antenna might suit your needs fairly well:
https://swling.com/blog/tag/indoor-shortwave-antennas/
(That suggestion doesn't come about purely from a bit of googling. I used to have a very large collection of QSL cards, from both amateurs and broadcasters, from all over the world. Loop antennas can work remarkably well!)