What kind of electrical box can be used in a kitchen island cabinet for a single duplex receptacle, where there is no structural members to attach an electrical box to? Here is a picture of the old box that was there, but I cannot find this kind of box anywhere. The box was inserted from the outside of the cabinet into a very precise sized hole, and the metal bracket attached via a screw in the center put pressure against the inside of the cabinet to keep the box in place.
The cabinet now has an outer panel attached to it (seen below from overhead with the drawer pulled out of the way, white is the panel, brown is the cabinet wall) and so the cabinet wall is thicker, about 1 3/8":
What sort of electrical box can I use to replace the old box given the thickness and the lack of structural support? It needs to be able to clamp FMC. Single 12-2 cable.