I've posted up this article before but it is worth repeating here.Just a thought. Once you have sufficient and effective long range single engine fighter cover. There is no reason why the Lancaster and Halifax couldn't be used as a day bomber. The loss rate for the Lancaster on daytime missions was exactly the same as the B24.
Considering the much better range payload ability of the UK bombers, both of them would be more effective than either US design.
The number of RAF Mustang squadrons used as escorts to these raids also steadily increased during the period from an initial 7 or so in Aug 1944 to about double that number by the end of the war in Europe.