You can get it shipped on ice. Specialty shops should carry it as well.
Call your local hunting group and ask around. Even guys in the city hunt.... Just get in and buy a tag for a deer, they shoot it and process it for you.... for a fee of course. I pay for a deer tag (hunting permit) each year. Give it to a buddy, so he has 2 tags. He will process the meat, I give him half the deer.
This is illegal in Michigan, can't speak for elsewhere.