Well folks you can either take action & research or keep wishing.
Plenty of resources on the web for shipping motorcycles. Sites like "FeeBay" also has a built-in shipping calculator under the SHIPPING TAB on most items. Chicago is a 13 hour trip from NJ, I drive it several times a year. A quick search in Google came up with a shipping cost of around $550 but that was just one. Not a bad price considering tolls & gas.
, I will not deliver the Burgman in case you were going to ask.
Didn't check on shipping to the UK but with the high cost of coverting a scooter to left hand drive