"...burnt out world where nothing grows, no more fish or game & no sun. Gray rain and snow almost everyday. And the very few people left (it's been years since the event happened) are hunters for other humans to eat."
I'd have a problem in suspending belief, to accept that scenario. I can enjoy a far-fetched story if the underlying scenario is credible.
Had there been an all-out nuke exchange between the US and the USSR during the Cold War, the northern hemisphere might well have been pretty much uninhabitable. But if it were that bad, folks couldn't survive on cannibalism alone. Not possible. And, after some years, the climate would begin regression toward the mean and people would begin to move into the "Burned Lands" as people always will.
Credibility of the underlying scenario...