The TV should handle it OK, but it might be a little tricky getting the tongue weight properly compensated.
Unless the cargo weight is close to identical from trip to trip, the differing load forces at the tow ball can be
enough to require a different setting of the WDH, (assuming you are using one, which you should under
these circumstances). Most hitch manufacturers offer a good tutorial on WDH set-up which may be
downloaded from the web as a PDF. If you have trouble finding one, PM me, and I'll look up the address
for you.
The same concerns apply to loads in the rear of the TV, but to a much lesser extent. The moment of
force is less in that it isn't cantilevered.