That's cool stuff. I've now built two tuned loops for BC AM, and the increase in gain as I increase size has me planning even bigger loops.
I recently built an RGP3 (a large loopstick made of several smaller ferrite rods) and have meant to experiment by placing it in the central axis of my largest tuned loop. I'm not clear on the relationship between the distance of the coil to the ferrite core, or of the area ratios between their respective cross sections. It probably wouldn't help increase nulls, but my gut tells me it would give even more gain, and if nothing else, it should allow for a turbo-charged small inductive winding for the antenna lead.
Maybe you have some ferrite rods and might experiment

***EDIT***
I've been researching how to increase the efficiency of tuned loops and am not clear on what wire spacing on the coil does for performance (I suppose Q, in this case). I understand the closer the wires in the loops, the higher the capacitance, but what does that really mean overall? In particular, my RGP ferrite is about 14" long, but the coil is currently about 3" long, and I wonder if it is worth trying to spread that out over most of the ferrite length. I'm also planning a 4' cross-arm tuned loop, I have it calculated at 9 turns. I intend to make it out of hard wood, stain it, make it really nice like a piece of furniture. Currently I have it planned with .5" spacing, but if it doesn't make much difference, I would like to change that to .25" for weight and size reasons.
Can someone weigh in on this?