I used to tow with two bikes on the rear of my Defender 110.
There was no issue with clearance in any ahead lock;you simply cant get enough turn on. However going backwards was significantly inhibited as the angles there are much greater [jack-knife in the extreme]. And that was with a long "A" frame continental van, not the shorter UK norm.
Had to remove bikes to back onto pitch, or use mover.
This could be countered by fitting the bikes at a high level, but getting them up there would not be easy.
I believe few hitches/chassis will cope with the normal van nose weight plus two bikes. Alko hitches and chassis are normally 100kg, with a few rare 150kg examples.