Maybe be more precise in your use of the word 'off road'. If you mean dirt or paved roads in reasonable condition, then most recumbents should be OK, if not ideal.
Probably the best thing to do is to test ride as many styles of recumbents as possible. Tons of configurations, and IMHO even cycles of a similar style are more different to each other that the typical DF
I have a LWB SUN Sport AX that served as a starter 'bent. Now I'm on a Trice trike (tadpole).
Even trikes come in a number of configurations: tadpole, delta (2 front wheels vs 2 rear wheels), front (mostly) or rear steering, suspended (rear only or all round) or not, direct vs indirect steering and so on.
Then you get into stuff like seat angles, weight, gearing (internal or external) and the rest.
One issue I've noticed with my Trice is that rear wheel traction going up steep dirt roads can be a problem, as most bodyweight is over the front wheel, as with most tadpoles. I haven't really looked into it, but you could have the same issue on a 2-wheel SWB.
OTOH, I've had no traction problems with my Sun LWB, where most weight is on the back wheel. Then again, the front wheel feels somewhat vague on dirt, as it is way out there, and doesn't carry a lot of weight.
Then you get the issue of being able to jump or at least use your legs on bumps: on most recumbents this is not possible, so you probably need to consider suspension or at least seat design.