GrauGeist
Generalfeldmarschall zur Luftschiff Abteilung
First, we have to look at the logistics based on what actually happened.Maybe we should rephrase the OP to '. . . that could deliver a 5000-10,000 lb bomb'. If a plane can deliver a bomb that size, then obviously it could be used to deliver a 'the bomb' of that size, regardless of whether there were any reason to think there was a possibility a German A-bomb. (Which there is not.)
The U.S. had an entire composite wing of bombers all similarly outfitted. This was not one or two aircraft, but several dozen.
This alone would exclude quite a few German types, as they either did not have that many or could not produce enough in time to create a comparable operation.
Next, we have to ask who they were going to bomb?
The U.S. simply cannot be done. Then who?
Britain? That won't stop the war (it may slow them down, but not stop them).
The Soviets? If you try that, you better have more than three like the U.S. did, because the Red Army will keep coming - Stalingrad may as well have been nuked for all it did to stop the Russians.
So to what end would a German atomic bomb have been any good?