It's my understanding that ticks require something living with a pulse to feed. Once the deer is down and out, they should start to move for a living food source. The problem here is that you may be that opportunity....if it's warm enough to have this problem, you may not want to let the deer lay long enough to get rid of the ticks.
To be honest with you, the best medicine may be prevention. I read an interesting article a few months ago. It said that a tick has to be actively feeding for 12 hours or more before lyme disease can be transmitted. This is because the bacterium that transmits the disease lays dormant in the gut of the tick. It takes 12 hours of food for enough bacterium to reproduce to exit the tick into your system.
That means that you'd have plenty of time after bagging the deer to do a thorough search and get the tick off of you before harm is done.
Another possibility, if the ticks are all that bad in your area, you could get an antibiotic to take as a prevention AFTER you come in contact with your deer.
The final and best option...hunt further north where the ticks aren't