I haven't stayed there or used it but Hub53 CoLiving are promoting discounted stays and they speak great English and would, presumably, be sympathetic to what you need to do (both of which I'd say is crucial). Personally I'd message them and see what they say.
Why not just rent a v cheap room for a couple of months? There are some incredibly low prices atm. I think it's highly unlikely you'll find someone to just 'put you down' for those, they could land themselves in a lot of trouble. Visa agent might be able to help?