You posted in the correct forum, unfortunately some folks don't check the forum the thread is in before they post. Thank you for your honesty and consideration in looking for a solution around GSMNP. You may have an easier time when you get to Baxter as your need for a dog sitter would be shorter. You may even have some hiker friends by then that could watch the dog while you summit.
Please read the sticky Peepsinc, it is quoted above. If you are of the opinion that you have a limited view of when dogs should be on the trail, you do have the option to ignore the Dogs forum completely. Any of WB's subforums can be put on ignore by the user.