Join Date: Aug 2011
Location: Barcelona, London, on a plane
Programs: IB+ Gold, TK E+, Hyatt Globalist, Marriott LTP, IHG Diamond
Posts: 14,182
Well the good news is that 1am UK time should be 7pm Chicago time for your body clocks, so not terribly rough.
I would get a room for a few hours. You also have the Hilton in the event that you have some Honors points to burn...