Most DIY Subs, including the VBSS use pro audio amps like the Behringer NX series. Most consumer subs are powered by plate amps, that are mounted in the subs themselves - you can certainly do this with DIY subs, and Parts Express offers plate amps for sale but the VBSS utilizes DSP in the Behringer Amp for it's performance and I'm not sure how easy that would be to duplicate with another amp (even if it had DSP). Hopefully more knowledgeable folks can comment on that.
You could put the Behringer amp behind your seats with the sub but you'd have to figure out the best way to power it on and off.
7.4.4 Theater Room: JVC-RS500, Silver Ticket AT 2.35:1 142”, Onkyo RZ830, Anthem PVA-7, Panasonic UB420, Apple TV 4K, JBL Studio 530’s, Dual Driver VBSS
3.1 Living Room: Samsung 64” F8500 Plasma, Anthem MRX 300, Dynaudio Audience 52’s, Dynaudio Audience 122C, NHT SubOne, Roku Express (2019)