DJ FC am living in London this summer

Just got accepted today, so this summer I will be living in beautiful London, England. But this thread was made for another purpose, I ask each and every one of you, if you are good at scowering the internet for deals (I know Orgazmo should be perfect for this) if you could help me find the cheapest flight possible I would greatly appreciate it. Whoever finds the cheapest eligible flight wins a special prize.

Details:

I am willing to leave any airport in Chicago, Indianapolis, or Detroit on or around May 30

I need to arrive in Heathrow airport. The best possible arrival time is in Heathrow before 11:00 am on the 30th (If i do this I will receive free transportation into the city).

I need to leave London (any airport will do) around July 22nd (but no earlier). I am willing to return to Chicago, Indianapolis, or Detroit.

This would be huge for me if one of you could save me a couple hundred bucks!

Thanks a lot guys. I'll keep looking myself.