For anyone who's interested, I've decided what I'm going to try on two instruments I'm building right now. I'm going to make an ebony "through spline" like I described above. It will be 3/4" thick. The grain will run vertically up and down the heel, from the underside of the FB down to the heel cap. It will extend back into the neck just beyond where the curve of the heel straightens out into the shaft. The joint will be a butt joint, bolted into a birch ply neck block using barrel nuts in the spline. After all the parts of the heel and neck are assembled, I'll carve the heel in my usual way, making a fairly deep (in the dimension parallel to the length of the FB) heel for added strength. The ebony spline will end up showing as a 3/4" wide black stripe running up the middle of the heel and terminating with a semi-circular end just beyond where the curve of the heel straightens out into the neck shaft. I think that will look elegant enough, and, when people ask about it, it will provide the opportunity to tell them about my cutting edge heel construction technology.
I'm fairly confident the ebony "through spline" would make the heel rigid enough as is, but, as insurance, I'm going to do a variation of Tony's idea (thanks, Tony!). Before installing the spline, I'm going to rout 2 grooves in its sides, one on each side, at a 45 deg angle, running from the edge that mates with the guitar body, about 1/2 way down the heel, up and back to near the upper back corner, under the FB, and inlay rectangular cross section CF rods into these grooves. The barrel nuts will go through the spline above and below these CF rods. The CF rods in the neck shaft will pass right along side (to the outside) the ends of these angled CF rods in the heel; that means spacing the CF rods in the shaft 3/4" apart, but I've drawn a cross section of the nut end of my neck and there's plenty of clearance for that spacing (or I could splay the CF rods in the shaft so they get closer together at the nut end of the neck, but I don't think I'll bother doing that). I suspect that spacing the CF rods in the shaft relatively far apart is a good idea, anyway - seems like they might be more effective at stabilizing the neck against twisting that way.
It seems to me that making the heel super rigid like this will likely have sonic benefits as well as solving a structural problem that arises with the elevated and floating FB. If you believe (as I do) that stiffening the neck, in general, has sonic benefits, then this is further stiffening in a way that should be beneficial as well. And it dovetails (not literally, but you know what I mean!) right into the stiffening of the body through the use of the internal CF struts and the CF capped back bracing. The soundboard, of course, is designed to be as flexible - actually more flexible in the upper bout - as a conventionally made guitar.