In a perfect world a couple of weeks would be great. By the same token I have shot deer out of the same standon consecutive days and was not even remotely descrete while field dressing the first one.
I've also had places that needed to be hunted right away for one reason or another like acorns dropping or something. Nothing works better than some good wet and rainy weather to cleanse a site either.
I'm pretty suburban so my deer hear everything from dog walkers, horses, or even mountain bikers so I think their not quite that jumpy when it comes to human activity.