I think you definitely need to look at doing this over the course of a couple years. If you only give yourself 7 days to hunt and on the 3rd day you shoot an elk, you will likely only have 2 days left to try and hunt muleys. If it were me I would try and find hunt areas that overlap and then try and draw the tag for the animal that is the lower priority for you personally and hunt that first, giving yourself a chance to learn the area, or at least try and draw a cow tag int he area first so you can go in and start to learn the ground. More people shoot nice elk/deer from hunting the same mediocre area year after year than on premium tags for a reason, they know the ground.
I agree for sure. I would never try to get all three the same year. One at a time