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wrote:

Has Arny read Bill Fitzmaurice's book, 'Loudspeakers for Musicians',

Nope.

and seen his Snail III design?

A little research shows that this design was also covered in Audio
Express.

Perhaps he would comment on the issues
with phase from the wildly differing distance from the woofer and
midrange/tweeter (which are in D'Appolito configuration)

If you filled me in with some relevant info, such as crossover points
and the actual difference in path distance, I could comment about the
general case.

For the record, I'm not a fan of low frequency horns on the grounds of
simple domestic practicality. OTOH, I have had positive experiences
with mid and high frequency waveguides (the proper name for horns).

To give you more insight into my opinions about speakers, I'm currently
mentally playing with a design composed of B&C drivers. Of course there
would be a separate subwoofer perhaps built out of large JL Audio W7
series drivers.

The woofer might be a B&C 18", not chosen primarily for air-moving
capability, but rather for directivity control. I'm thinking of
covering the 80 to 270 Hz range with it. Then an 8" B&C driver would
cover from 270 to 800 Hz, again with directivty control in mind. A
constant directivity waveguide-based midrange-tweeter would cover
through at least 8-10 KHz. If I couldn't eq enough high treble into
that part of the system, a small waveguide-based supertweeter would
finish out the audible range. Due to the extreme efficiency of the
drivers, no more than 200 wpc would be required to cleanly handle
120dB+ SPLs. The active crossover would be Berhingers' new digital
unit.

The drivers would be positioned in a row with their lower edges just
above the floor line to minimize the effcts of the usually-ubiquitous
floor bounce. Total enclosure size would be about 6 cubic feet.