34A series on a common district Chicago.. Looks VF30 or 35. A couple of closed staple holes. Some light black ink smeared on back. Should be graded or put in a better sleeve.
The BEP usually issues complete district sets. Do you have pictures of the 3 remaining districts Boston, Philadelphia, and Cleveland? These 2011xxxx $2s are series 2003A and have the "D" suffix. I know they sold out, but I don't remember much demand for them on the open market. A $2 collector might know.
I think it would be better for the hobby if these 50's with 11 stars were enjoyed by many collectors instead of just 1 wealthy collector. What's the point in having a star note if you can't show it off.
Having something tangible makes you aware of your spending. When you remove that people overspend and get themselves in debt. People with credit cards have larger amounts of debt. People who switched from credit cards to cash tend to have less debt. I'm not saying do away with credit cards, but cash spending can result in more responsible purchasing.
I would try contacting a Canadian paper money dealer and asking them about the process. Doesn't Davenport Numismatics (davenport-banknotes.com) send a lot of notes out of Canada, I'd give them a try.