Good call. I once had to do a late night dash down a street in Salisbury to get a Sika calf from the back of the car to my father in laws without offending the entire streetIf it's a muntjac, I'd be inclined to take the whole thing back to your flat to process it (after gralloching in the field, obviously).
They're so small you'd fit one in a holdall or rucksack. Another member of this site has taken deer in to London on public transport in that way.
You can then just hang it in a doorway in your flat to skin and butcher it, and dispose of the waste, securely bagged, in your domestic bin.
(I accept it's going to be a different story if you're fortunate enough to shoot a fallow).
