Shame TN doesn't have as many trackers willing to do it as a hobby as MS... perhaps it's because they have to be on a leash in TN, and you can't dispatch the deer when it's being trailed by dogs. Lots of walking by the owner through brambles, briers, etc... and slow tracking, so lots of time invested in TN.
In MS, recovering deer has become a popular sport. No leash required, turn the pack of catch dogs loose on the trail behind a good trailing dog, all equipped with GPS collars, and watch them go to the deer on the computer screen, then go right to them. If the deer is still alive, no matter, the dogs will have them incapacitated by the time you get there. Because it's so much fun for the dog owners, many refuse payment.
A tracker 15 miles from me has recovered just over 170 deer this season alone with their pack. She and her husband do it for fun. Sometimes they will let you pay for gas, but usually not.
Not saying the way its done in MS is right... lots of wounded deer are caught and killed that would have otherwise recovered from their wounds. And not saying it's wrong for good tracking dogs in TN to cost $300 to come out. But I think there are good and bad things about what is allowed in both states.
Regardless, that deer would have been recovered with a good dog or pack of dogs.
10 years ago, less than optimal shot just resulted in an unrecoverable deer. We all accepted it. It sucked, but everyone eventually shot a deer they couldn't find. Now that tracking dogs are allowed, the majority of deer that were lost are recoverable. That's great for the hunter and the deer themselves.
I would suggest you make friends with a local tracker and have them on speed dial. Many would rather track than deer hunt... but almost all still love to hunt. In TN, I allow one to coyote hunt my farms in Feb for coyote killing contest wins.
Regardless, you can feel you did everything you could do considering the circumstances. That makes it just a little less bitter pill to swallow.