It takes a couple of days to get all the blood out. I rest mine in a cooler, the following morning I drain all the water out and it's quite red, then I add more ice and water. Second day I do the same and it's pink. By the third day the water stays clear. I personally don't care for the blood either.There is not. The only thing I'd question is whether that is enough time to age them for rigor mortis to pass. For some it would be, for some maybe not. How long it takes depends on sex, age, and temperatures, maybe something else I'm not thinking of.
@Molpet wouldn't rinsing them off take care of any problems? I don't use shrink wrap bags, I double wrap mine in freezer paper and rinse them off after they thaw.