An alternative to a moleplough or a digger is a trenching machine. If the ground is relatively free of rocks, then a sort of ground-chewing chainsaw can be used. B4RN Norfolk have one on the back of a tractor. Norfolk claims to dig to 90 cm with it. It is a tractor attachment the same way a plough is.
Northerners may decide this is unsuitable for their terrain.
It is the same concept as the hand operated Toro or Bareto machine.
B4RN have a Toro machine, but that doesn't mean you can get hold of it. It needs a short training session, then if they trust you, it might be possible. You would be paying for a few new chains before you returned it.
Looks useful for that really fiddly bit, if you had a machine freely available. Looks as though you need an operator as well, it's a bit unwieldy. And one immediately is thinking about what size stones it can deal with and how easily they damage the sawing chain.
And there exists something like a hand held version which has got to be the most dangerous machine ever invented. Do not use.
Norfolk's attachment
Clean and deep
B4RN's Toro
The Welsh group at Michaelston-y-Fedw bought one of these for their project. It's the same type of chainsaw mounted on wheels. They use it for going across gardens. £3000 new. Still looks too dangerous.......
This machine was demonstrated at the B4RN Show&Tell Event in April 2016. F4RN (Nottinghamshire) were there. They got to use the machine for real earlier this week
It cuts a slot with a huge circular saw. It moves by remote control, it has no sit-on driver. It won't be cheap, but it might be cheaper than a road cut, especially if you had a few lined up - it is fast.
This company is based near Wigan, so not that far away.