Actually, no bombs means no Manhattan Project. That means all the money and resources that went into it are spent on conventional weapons instead. As those have a shorter lead time, the US would actually be stronger in the later part of the war than OTL. That might actually let the war in Europe end sooner.
I don't have the actual numbers on hand, but I've posted them before. The project which developed and built the Bomb was actually cheaper than the project which developed and built the B-29. In fact, IIRC, the Bomber cost close to 50% more than the Bomb.
I cannot even being to guess just what program or programs could have been accelerated with the Manhattan Project's money, but there are bottlenecks and hurdles which even money cannot overcome.