I've always thought that Mars missions should 'drag a bag' behind an atomic rocket. The best shielding is the inverse-square law. Put the habitable part of the mission vehicle several miles from the fissionables! At the end of a tether.
I'd also be curious how the tether would avoid getting cooked by the rocket exhaust. I think a long mast, putting the riders in front of a large mass of fuel, would be much simpler.
But you're right, it is a lot easier to design an ultra-light, super-strong tether than a giant mast.
Another free benefit would be that on a change of acceleration, angular momentum would be conserved. Rotation would increase or decrease to keep the acceleration felt by the occupants approximately constant!
http://james-camerons-avatar.wikia.com/wiki/Interstellar_Veh...