Personally, i like it. I had the same uhh "problem" in my playthrough. I got up to i think 40 something before i started finding stuff, but it meant that infection was an actual threat. It hasn't been a threat in quite a while. Imo it's still not enough of a threat... i mean in any zombie type setting, getting literally infected by a zombie should be a death sentence. It shouldnt be curable and should do it's effects quite rapidly.
But back to the honey, I enjoyed having that thought in the back of my mind. If honey was in every stump, or even every 10 stumps, that would completely negate infection yet again. Maybe try going for a pop n pills instead of hunting stumps. Or look at the traders for some antibiotics.
Of course these are my personal points... I do like the challenge, should i get infected.