I'm not sure that Bomber Command was a 'strategic' bomber force in this context, since - IIRC - their 'heavy' bombers were optimized for payload rather than range. They could strike targets in Germany, but there weren't any worthwhile strategic targets left in Germany. An infusion of B-29s, of which the US had a considerable supply, or the development and production of a follow-on British bomber, would have been needed to carry the war to the Soviets.