I know C2C very well...did the official route on a road bike about 2 years ago over 2 days ...day 1 absolutely no probs, but day 2 involved a horribly gravelly bit over the waskally way and another not great bit on the derwent walk old railway. Lots of glass on bit along the Tyne too...I didn't get any punctures and I think I had armadillo tyres - very thick and slow but puncture proof.
Did C2C in a day by my own route avoiding the above and did tynemouth to Whitehaven...cycled on road as far as hartside via Corbridge and Hexham, cycled to braithwaite on A66 (not recommended) then official route after that. 122miles. Job done. Gatorskin tyre on back wheel. Some Vittorio racing tyre on front. No punctures....