However, doing a bit more research, it looks like what
I really need
is a Transmission Gate. The important difference is that a
transmission gate will pass the input regardless of its state, so L
passes L, H passes H and Z passes as Z.
Beware that for such a device, "input" and "output" are ill-defined;
what they really do is connect two pins together, without regard for
which is driving and which is being driven - as must be, if it is to
pass Z "correctly".
This may, of course, be no problem for you, but it should be kept in
mind when designing with them.
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