Hale Haven is a fine peach. I’ve not grown it myself but other people on the forum have. It is supposedly more susceptible to bac. spot, which is why I’ve never tried it, but that shouldn’t be too big a deal for a backyard orchard.
It is one of those rare peach varieties which is pollen sterile, so you will need a different variety to pollenize your Hale Haven.
In terms of your dying Contender peach, the spots should not be contagious in the soil, so you should be free to plant another peach in the same location.
There is a caveat though. Generally spots like you show in your pic won’t kill a tree, although they can weaken it. But by themselves, the spots shouldn’t kill your tree.
There is probably another contributing factor killing the tree. My guess is too much water. I don’t know what the ground water situation has been in MI this spring, but probably very wet, which peach trees hate.
I know you have other peach trees close by the dying one which are doing fine, but I’ve found sometimes some peach trees close by tolerate more water on their roots than others. I don’t know what the reason is, but I’ve seen it in my own backyard orchard at my house. So, if you plant in the same spot, you might get the same result (i.e. dying tree).
One thing you can do (and I’ve done in my backyard orchard) is to find a place where you can get some good dirt (ideally some you don’t have to buy). Collect about ten 5 gallon buckets of dirt. Then put your new peach tree right on top of the soil in the place you want to plant it. Don’t dig a hole, just place the roots right on top of the ground. Then dump your 5 gallon buckets of dirt on top of the roots, until you’ve built yourself a little mound around your peach tree. After that you should have no worries about getting your peach tree started, no matter how much rain occurs.