If you travel close to C, those photons will be blue-shifted into (depending on velocity) very energetic photons (x-ray, gamma spectrum) that may be rather difficult to shield against.
> close to C
As a programmer, this gave me this warm feeling...
But when you accelerate even more, it will be C++.
Special Relativity states that it's time that changes, not the speed of light. C is constant regardless of your reference frame. So, it's still C, but instead, it will take a lot longer to complete your project. You're definitely going to miss your deadline.
The hydrogen may be a problem well before the light or CBR become another.