GreenthumbAsh, if you don't mind me saying, you might be worrying about nothing? The tone of what you write makes it sound as though you're going to EAT the ruddy compost. Do you reject the idea of cow manure, bearing in mind what it is and where it's come from? Why are you turning the heap? It's only a preference and hence another job you've got to do.
Any material that will bio-degrade starts off with nutrition from which it arose. By holding on to it in some form enables you put its elements into your soil where your next crop can feed off it. That process is accelerated by Nature's helpers like worms, insects and lesser life forms which convert it for you. You don't say what sort of area you live in. If you're in an urban environment, rats and mice might upset the neighbours but, in a rural location like where I am, they're not a problem of any significance and their 'manure' is added nutrition anyway?
Gardening is one of those spheres where someone is always trying to write an eleventh Commandment, but the next person you speak to will have an alternative point of view that works just as well. If you're new to the fold, by all means email me on (e-mail address removed) and I'll send you an article I've saved that puts things into perspective for a new gardener.