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Under EC261 I can't see how you have a claim. From a journey management perspective this comes across as single trip with a departure and a single arrival. If you had booked it as two trips then it may have been treated differently but that brings risks of its own. I doubt you even have a claim under the Consumer Rights Act since BA will still treat this as a USA-France trip and they didn't sell it to you with a side trip built in. I can't see how BA would pick up the extra trip to London. Your best chance would have been to ask at LHR to be rebooked to a later CDG service even though it would have been the next day.