Still love my Cressida Wagon. I don't mind laying the bike down, as long as I get to keep the back wheel installed.
So consider "full size" wagons as a good choice. They are more geared towards cargo than passengers. Our rear seats fold totally flush with the cargo area, and we can sleep back there if we had to!
I also have a custom modified hitch-mounted bike rack that can carry two fully assembled tandems (with both wheels still on), that we use for ultra racing or travelling with another tandem team.
**Off-topic**
The interior was completely stripped down, to do the wiring (for the Lexus V8 swap) and change the heater core. I've got it about 2/3 back together. I custom modified a 95 LS400 gauge cluster to fit in the Cressida's dash, it is fully functional and communicates with the Lexus engine computer.