I have yet to tray-process 11x14 Efke, so I'm not qualified to advise Mike on whether or not his shuffle processing will lead to problems (though I tend to agree with the nay-sayers, Mike!), but I have nervously shuffle-processed the 8x10 Efke film with luck 4 sheets at a time, partly (I think) thanks to a little trick I'd like to pass on:
I round the corners of each sheet with a fingernail clipper. I've been doing this for years on 120 film to ease its loading onto reels, so I'd thought I'd try the technique on sheets. So far, it has worked OK, but as Mike says, it helps to handle the film "maniacally" (especially Efke).
The other possibility to satisfy your impatience, Mike! is the old Navy technique of taping down film sheets in a single tray, and pouring & dumping your chemicals. I've only done this for 4x5, but I imagine you could do four 11x14 sheets in a 2x3 foot tray. In fact, you could still brush develop, using this method. It's just a question of more surface to deal with.
The technique is simple: using a tape such as that used to hold 120 film to its paper backing, you tape down two diagonal corners of the film emulsion side up and not too far into the image area to the tray bottom. You must be careful to let the film "bow" upwards slightly to allow liquid to flow underneath. I pre-position my chemicals in handled pitchers. They tend to be easier for me to find and handle in the dark.
One possible problem with this technique with a film as large as 11x14: If your tray bottom is completely flat I think it would be difficult to bow the sheet of film sufficiently enough to keep it from sticking. In this case a convex-dimple-bottomed tray such as a Deville would be perfect.
Anyway, as I don't usually do inspection processing, I use Jobo tanks (and mostly, Ilford films). Helps save my nerves and keeps my brushes free to clean lenses! But, like many of you Mike in case, techniques may be subject to change depending on what looks fun and interesting or "better" to try!