They could get most of them from WV and not harm their population there.
Check this out:

The sprawling Eastern Band of Cherokee Indian reservation in the western part of North Carolina has been trying for years to bring back a cultural symbol: White-tailed deer.

Now the tribe is partnering with state wildlife agencies in a long-term project it hopes will replenish the deer population on the 56,000-acre reservation.

Over the next three years, between 25 and 50 white-tailed deer — mostly females in small family groups — will be relocated from Morrow Mountain State Park to the reservation, known as the Qualla Boundary.