Hello!
I know from personal experience what it's like to be allocated a residence that isn't your first choice (albeit at a different university), and it is not the most fun experience, so I do sympathise.
However, you need to remember that at the University of Leeds, nearly every single residence is oversubscribed (hence why everyone gets only one choice), so there is going to be overflow into other residences. You basically have two choices here, and they are two very simple choices;
1. Accept the offer and study at Oxley. Yes, it's far, but there are busses and it is an incredibly affordable residence with amazing facilities and is in a gorgeous location. Swings and roundabouts.
2. Reject your offer and search in the private sector. If you choose to do this, Unipol (an independent charity who works closely with the Uni helping students with housing) will be a good place to start asking questions/searching.
I can tell you that calling up the accommodation department will genuinely do absolutely nothing for you, they've made you the offer and you just need to accept that's what you got. It sucks but that's that. I cannot assist you on your question on Asquith because I have never been.