What would be the cheapest way to power as well as wire this thing? You'd have to re-wire the speaker connections, but how much power would it need? Would a modern day AVR/Receiver have a good enough low freq filter to use the sub pre-out?
Not sure how one will be able to get inside the panels but here goes. Rewiring is very simple - Unscrew and pull out the XLR jack. There will be two wires, one to the positive and one to the negative wire on the woofer. Test it to the correct woofer. You would then have to fashion a plate to fit over the original XLR jack - you can use a double banana jack, gold plated or not, and corresponding double or single banana plugs for the wire. Parts Express and Orange County Speaker are good sources for those.
A suitable plate is just a piece of wood or decorative plates can be used. Or really simply, buy the common prebuilt terminal cup, round, square or rectangular, that already has double binding posts and drill/cut the panel to accept the cutout needed. Rewire the XLR wires to the correct polarity on the binding posts, solder, gasket the cup, then screw back in. Repeat for the other XLR, Done!
Power wise - if the unit can run about 75W continuous power, I'd suggest running with about amp that can give you at least 100 watts. You want an amp that is loafing along and putting out clean power, rather than an amp that runs out at 50-75 watts and then clips, which could send some problem signals or DC to your woofers. While the B139 woofers are common, they are not always cheap to purchase or ship due to weight. So important to try not to blow them if possible.
Whether an AV receiver has a good low pass filter depends on the specs. If it can give you something like 120hz or lower filter, should be good to go.
These are some pretty good subwoofers if you have the space and the ability to transport them to your home (and get them in!).
Good luck! No affiliation, yada, yada.