The conservation of momentum means that whatever system you devise, the spaceship would have to eventually withstand the forces related to the total dP/dt required to get the obstacles out of the way...

You could change the distribution of the forces at best but I'm not sure whether that could be enough...

Here's one paper on the subject. There are others, but I've run out of steam for trawling through Scholar and arXiv.

Radiation hazard of relativistic space flight https://arxiv.org/abs/physics/0610030