Re: Brooks Box
Open bottom handholes are commonly used in the traffic signal and roadway lighting industry, I have installed many. The boxes I used are concrete with a metal lid and frame, and are Washington DOT type. We have a state code that allows their use, as they are not exactly recognized by the nec (there is a 2005 proposal to add to scope of art 314).
Quartize is one mfg that has a listed box. The box does not have to be listed for use, as the AHJ can accept it, see section 110.3. Since its a open bottom box the wiring methods inside have to be suitable for direct burial.