Newscaster...
I'm sure that if someone was willing to pay enough then they'd be allowed to accompany their pet.. expensive though as you have to factor in ad-hoc insurance etc.
'dingy bulk head place' if you mean the bulk compartment then this would be the easiest to keep warm (small volume). Getting a large space like the maindeck of a freighter warm takes a lot of bleed air..more fuel=more costs. On a 747 freighter only the hump is heated .. and you stay away from the maindeck access 'hole' as cold air sometimes comes up around the edges. 74 Freighters usually need only one pack on .. for livestock charters, all 3 packs are mandatory.
DCBOE
Emr@tes carries falcons in their cabins (at least until 2009).. usually found on their Pakistan - UAE flights.
Anilv