Something to realize, which most non-hunters wouldn’t intuit, but seems to be a critical failing of your plan.

You do not want your blood tracking dog to be on the deer immediately, or even remotely soon after the deer is shot. If you need a dog, it is because the deer didn’t go down quickly, which likely means a less-than-optimal shot placement. You might need to wait half a day before even starting to track, else your “tracking” dog will become a “chasing” dog. Deer need time to die on a poorly placed shot, and starting on the trail too early will bump them out of their bedding and make them run farther.

It’s a critical and absolute mistake to start tracking too soon.

That extra travel time back to retrieve your dog might be extra energy, but it’s certainly not lost or wasted time.