HPVelotechnik Streetmachine, the quintessential SWB tourer:
That's a standard set of front/back rollers. It'll take 4 'rear' panniers plus whatever you can strap to the rear rack, with no compromise on handling. It's about as capable off-road as recumbents get, and occupies the same volume
[1] as a flat-barred DF tourer.
Here's barakta's ICE Sprint in touring mode:
(Dawes Discovery for scale)
Two of those giant Altura Orkney panniers, plus a Carradice rack bag. Additional luggage could go on the back of the seat, but two-wheeled trailers (you can't tow a single wheel trailer properly with a trike) are a popular alternative.
For trikes, I'd suggest something like an ICE Adventure (more ground clearance than the Sprint, which is really a road machine). Personally, I'd say that if you're capable of riding a two-wheeler competently, there's little advantage and a lot of disadvantages to three wheels. Trikes are slower, bulkier, have three wheeltracks to deal with and are a PITA on trains. They're better at climbing with a heavy load - you can just gear down to the limit of traction - and mean you have an armchair with you wherever you go.
Either way, I recommend under-seat steering for taking *all* the weight off your arms.
I second the recommendation of a trip to D-Tek, with the usual warning about Kevin's level of enthusiasm for things like answering the phone and actually selling bikes.
[1] I'm a shortarse. If you've got proper legs it'll be slightly longer.