Whitetails will definitely migrate.They have been shown to migrate in a variety of environments with distinct summer and winter ranges. Here's a relevant excerpt from a master's thesis abstract in the 90s. Further north but still worthwhile.
"Winter habitat selection patterns of white-tailed deer
(Odocoileus virginianus) in the Priest Lake watershed of
northern Idaho were studied during the winters of 1990-91
and 1991-92. Twenty-five radio-collared deer were monitored
on 4 geographically distinct winter ranges within the
watershed. White-tailed deer displayed a strong preference
for low elevation (< 820 m ) , densely forested sites with
mean tree ages ranging from 65 to 91 years. All study
animals avoided non-forested sites and selected stands of
mature timber with overstory canopy coverages exceeding 80%.
Preferred winter habitats of whitetails in the Priest Lake
watershed were predominated by Douglas-fir (Pseudotsuga
menziesii) and grand fir (Abies grandis) overstory trees
with an admixture of lodgepole pine (Pinus contorta) ,
western red cedar (Thuja plicata), and western hemlock
(Tsuga heterophylla) . Understory plant communities were
depauperate and characterized by shade tolerant species on
all winter ranges.
Twenty-four of the 25 study animals were
migratory. Spring dispersals peaked in mid-March following
a period of increasing temperatures and reduced snow depths.
Spring migrations ranged from 6.8 to 59.1 km (X = 27.3 km,
S.D. = 16.4). All migrating animals moved northward to
higher elevations.
Fourteen clearcut sites were used to evaluate spring and
summer use of low elevation clearcuts by white-tailed deer
in the Priest Lake watershed. Pellet-group densities were
used as an index of deer use. White-tailed deer use of
clearcuts adjacent to winter ranges declined significantly
from spring to summer. I believe spring dispersal of deer
to higher elevation summer ranges is responsible for this
decrease in use. The structure and composition of seral
plant communities was highly variable between units and no
correlation between pellet-group densities and unit size or
age was found."
From: Secord, Mark L., "Winter habitat use migration and spring and summer use of clearcuts by white-tailed
deer in the Priest Lake watershed of northern Idaho" (1994).
Graduate Student Theses, Dissertations, &
Professional Papers. 6424.