I saw Mike on the last page ask how you would like to sit next to a driveshagy carrying 2,000 HP, but it didn't seem to hurt a lot a P-39 pilots who had a driveshaft running between their legs carrying 1,325 - 1,600 hp. The driveshaft proved to be very reliable and damage resistant.
Had the He 119 gone forward with a regular radiator, I don't think the driveshaft would have been an issue. The visibility might have been an issue, though. The pilot was almost but not quite flying "blind" but to a very restricted view.
I'm just not sure what missions might have been assigned to it that would justify the aircraft to start with ... once the "record breaker" mission was done, what could have been done with it assuming a normal radiator? It certainly wasn't much of a transport and had no bomb bay. It wasn't ever going to be a fighter without major redesign. Maybe reconaissance?