Sigh....yes it COULD be done, but at a huge cost due to the shielding issue and the crew would be exposed to chronic radiation levels constantly. and even then, I don't know what those levels would be but if these crews stayed in the air 24/7 the only way they could get away from them would be to change out crews....how many times could this be done until we ran out of pilots due to chronic exposure? I guess with exposure limits from yesteryear of 15 Rem (also 18-N)5 a year maybe they could have stayed up there for a while...it would be nice to know what the planned levels were.
I could go on and on...you can find plenty of data and use it to posit all kinds of theories....but taking them all into consideration it seems like the shielding killed any attempt to build a nuclear airplane with 50s technology and the scientists spun their wheels trying to figure it out. Every problem talked about eventually finds it's way back to the shielding issue, until you start dealing with a nuclear airplane falling out of the sky onto the public. But this wasn't as big a deal in the 50's like it was today or as Kennedy saw it coming in 1961. The 50s were a time of the Red Scare, and if we could of put a nuclear airplane in the sky as easily as a sub, we would have. What made it so difficult? The shielding issue.
Here is yet another quote of what the planners were up against even after coming up with something they thought might work:
"Another decision involved the crew, for although the shield tests accomplished all of their goals, it was still felt that some mildly harmful radiation may reach the crew. This begot a plan which in hindsight look rather ridiculous, although at the time it was quite serious.
While most of the intellectual effort devoted to solving these problems was of the usual serious and straight forward kind, occasionally some bizarre proposals arose. One which was discussed quite seriously was that older men (i.e., men beyond the usual age for begetting children) should be used as pilots so that genetic damage from radiation would be held to a minimum and because older people are generally more resistant to radiation than younger ones."
York, Herbert Frank, Race to Oblivion, (Simon and Schuster: New York, 1970), 62-63