The most logical aircraft to choose as a German bomber is the He-177. It would provide another aircraft with performance on par with the other Allied heavies. Notice I didn't say equal to - on par with with.
The He-111 by 1942 was an afterthought, used well beyond its time and phased out by other types, specifically the Ju-88.
I know everyone wants an He-111, but I have to ask...why where they relegated to nocturnal status after the Battle of Britain in 1940? By May of 1941, nearly all of the Kampfgeschwader flying He-111s were moved to the Eastern Front, where the Luftwaffe still had air superiority.
Yes, He-111s were used effectively as torpedo bombers against convoys, but again, extended out beyond the range of land-based fighters. The Allies had yet to build sufficient numbers of escort carriers to provide their convoys with fighter cover.
So while asking for an He-111 seems like a good idea, by mid-war standards it lacked sufficient armament, payload, and range. Even a semi-accurately modeled He-111 will fall short of the existing Ju-88.
J