Hmm, a couple of points here:
- He-177 is listed as carrying upto 6,000kg of bombs, well over 4.5 tons. In addition, if we are postulating a top priority German Manhatten Project, I'm pretty sure one of the facets would be producing a bomber capable of carrying the weapon. There are other options than the He-177, like the various Amerika Bombers that never got operational in any numbers in OTL, but could have with increased priority.
- He-177 losses during Operation Steinbock were less than 10%, which suggests a single 'special' He-177 in a stream with the rest would have a 90%+ chance of reaching the target (probably higher as some casualties were on the return leg).
- The Russian air defences weren't geared for high level interception, (He-177 operations on the Eastern Front did not have high casualty rates) so chances of a single bomber making it to Moscow aren't negligable (I won't put a figure on it though).
- A U-boat getting into New York harbour is highly unlikely I agree.
Anyway, I think we are in agreement that the primary issue is the actual production of a German bomb, which was highly unlikely to suceed in time even if they had tried.
You do realise that the reasons why the losses of He-177 during Operation Steinbeck seem so low is because;
- aircraft which abort during and after take-off are not included in that 10% figure. F.ex. Ju-88's which were more reliable had a much higher loss rate, but there were relatively much more Ju-88's over the target also.
So, by using your logic, your numbers would be even better if 100% of the He-177's aborted the sortie due to malfunctions, because then 0% of them would be lost (to enemy action) and a He-177 on a nuke mission to London would have 100% chance of success!
- the He-177's operated from Osnabruck and Orleans, which isn't exactly a long trip to London. Bombing Moscow would have been a much, much longer distance, resulting in more losses and even less reliability.
- normal He-177 crews 'only' carried 4000 kg of bombs during operation Steinbock, which is only 2/3 of the 6000 kg you claim.
Only the very experienced crews carried 5600 kg of bombs.
If that's not enough, there's another problem for the Germans.
Even if the He-177 is capable of carrying the A-bomb, it's certainly not going to be able to fly fast enough (with that load!) and high enough to have it survive the sortie. For that you need the B-29. Unlike the Japanese the Germans weren't into kamikazes, not untill the last days of war in ETO anyways, so that probably means it's a no go to use the He-177.
Even if the Nazi's - with a sudden talent for realistic planning which they didn't show entire WWII - manage to scrape enough resources together to raise the necessary resources for their Manhattan program, they're not going to have enough left to fund the delivery system.
IIRC the B-29 program (which is the only WWII aircraft capable of dropping the bomb and barely survive it) cost
150% of the Manhattan program at around 3 billion USD.
No way the Germans can manage both programs and not lose WWII in '43 or '44 because they have had to sacrifice too much on other terrains.
You all do realize that there were several separate efforts and that one of them, not too far from where I live was quite literally five blokes in a cellar?
You can tour said cellar today, but it illustrates why there is no way in hell the Nazis could have produced a working bomb before the early 50s.
Well put and a nice anecdote.

Enormous contrast with even the 1941 British program.
It should be worth noting that by the end of the war, the Germans were converting a He 177 to carry the atomic weapon that they thought they would build.
Do you have a source for that?