The hard part about doing that with off-the-shelf components is, finding suitable 4-ohm or 16-ohm 10" woofers. Faital Pro is the only such woofer manufacturer that comes to mind. You might contact Don Oatman at Low Down Sound and see what he could do on a custom basis. Personally I think a single 8-ohm "uber 12" may well do more of what you need from a bass cab, which is (perhaps somewhat oversimplified), to move a lot of air without farting out.
Do you tune to low-B, or low-E, or something else?
The Kappalite 3012LF woofer used in the fEARful and Fearless 112 cabs will move considerably more air than most 2x10 cabs. According to Greenboy's website those cabs are in the 32-48 pound range, depending on wood and other options. I use that same woofer in a couple of models and think very highly of it.
The Fearless F110 is in the 29-35 pound range, depending on options, and its woofer moves approximately twice as much air as a conventional 10" woofer, so that's another possibility.
Greenboy's cabs are very well designed and go deeper than most bass cabs. In instances where he and I use the same woofers, I've opted for smaller and lighter and of course traded off low-end extension in doing so... not because I think what he's doing is wrong, but in the interest of offering a wider range of choices to bass players.