Forget all the peripheral pretty unimportant (relatively) stuff ... Concorde Breakfast Room, Galleries lounge, Spa ...blah, blah, blah, blah
Its your 10th anniversary and you want to be in SCOTLAND
Fly via ORD/MAN return on AA fare = $1074.90 out 8/29 returning on (if you leave 8/31 its about $100 less) 9/6 upgrade with the copay....the taxes should be a lot less than going through LHR.
When you get to MAN take the Express train from that airport less than 2 1/2to Waverly Station right in the heart of Edinburgh.. more time in Scotland.
No foolling around in Canada, Bermuda, Mexico or even LHR
mike