The first question is what the legal situation is. I am fairly sure that in Australia that trailer would not be a legal bike trailer because of the overhang past the rear axle, but the police would stop you because it's too large (they generally don't know this part of the law very well). Either way, I doubt you'd get far before they took an interest.
If you can tow it legally, I'd look at how to activate the brakes in the trailer. You will need to be able to do that relatively easily, because those will be your only effective brakes. That trailer will push a bicycle with it's wheels locked up quite easily. So, make the trailer brakes work.
Then I would build a quick semitrailer-style load tricycle, either a tandem or triplet. Somewhere on the net are photos of a bike shop move (in north america?) where they built a couple of semi-trailer style trike+trailer units for the heavy stuff (workbenches at 200kg+). Broadly, a solid axle between two wheelbarrow-style wheels, one side driven, very low geared, upright trike. You would probably want gears in there, but the main thing is to mount the towball as close to that axle as you can. Have the rear rider operate the (trailer) brakes, and the front rider operate the steering and gears. I would fit brakes to the trike but only for legal reasons and so it can be ridden separately from the trailer.
Depending on the weight of the trailer and the slope of the hills, you may find that you need a few extra riders to help push the trailer up hills. Either way, walking speed is a fair guess at how fast you'll go. Partly because you don't want to go faster than that down hills either.
You will probably have better luck if you do it as a charity ride - it doesn't really matter which charity, just pick one you kind like who will let you use their name and start advertising "fund raising ride - five idiots pull a big trailer from Here to There using a tricycle". With a little effort I'm sure you could even make enough money for them to be really happy :)