good luck with the move sean.
The one that popped into my head straight away was a ghongora galleata but schwerter haven't got any.
You can have lots of orchids in hanging baskets that don't have hanging flowers so it's up to you a bit what climate you can offer and what schwerter have in stock.
I would recommend a dendrobium of some sort. Maybe a sedirea japonica just because it's probably the most adaptable phal you could buy and is lovely.
maybe a phal equestris or one of its hybrids like
Dtps. Tzu Chiang Sapphire - Orchideen der Schwerter Orchideenzucht
that is a beautiful hybrid well worth getting