Stopped here last year....
http://www.queenshotel-york.com/
About £75 a night B&B....Nice and central, but not right next to the bars so not rowdy....
Did see some lads trying to bump a Punto into the river in the middle of the night though....They got it halfway over the edge but it caught on the edge and stuck....
Then again, maybe that's just York in general?....Seemed a bit on the rough side after dark....
I've stayed there and it's a nice hotel. There are some great bars nearby. Don't appear on the rough side after dark when i was there.
