Take a look at my project here:
/g/loopantennas/files/AF7KR%20projects/Two%20turn%20shielded%20loopIt is 100% shielded and 100% balanced (which may make some difference in null depth, but I didn't notice any).
I am more interested in HF, and this loop rolls off above 3MHz, so I didn't play with it much.
1m diameter works very well on AM BCB, may work fine on LW too. The cable is RG-6Q. The preamp is LZ1AQ clone.
73, Mike AF7KR