I wouldn't have a tup in the body compartment. BH did that once and nearly had an accident - and never managed to get the interior properly clean again...
I'd happily transport one in the rear pickup part, provided it has a canopy and is secure. Put carpet down to give non-slip footing, and some straw or sawdust to make it easier to clean up. Then arrange for the loading and unloading to be on a level so that he just walks on the flat into and out of the container.
As long as the head height is such that he can stand if he wants, that would be perfectly serviceable for a half-hour journey.