It seems you're all making this far too complicated. The U.S. and U.K. interest rates are built into the futures price of every futures contract. You can obtain what they are by simply looking at what the price of the future is vs the current spot and doing the math. Is there some question that the futures are mispriced based on the no arbitrage condition given current interest rates? Otherwise, why in the world wouldn't you just use any futures the has a quote to determine the implied interest rate differential?