Your term "deeper" most likely needs some definition. A good system even today costs some money. An ELF, and a 2x8" is most likely not suitable in a bigger venue without the help of a PA.
First of all, the system (cabinet + X-over + elements) has to be designed and made well. I have seen many combos/cabs throughout the years that have been mediocre at best.
If the system is designed for bassist, it has to deliver some kind of response from around 60 Hz up to around 4 kHz (you don't get much higher frequencies from an ordinary coil-magnet pickup).
You want extra bass through subs, fine. How big are they, how much do they weigh, and how high the response goes? If you can and want to carry such a system (subs + bass), you can do that but how feasible is that? 31 Hz is very low, therefore your subs need minimum of 2 kW power on top of that 500 W bass amp.
Is the venue so big that you get any benefit from a system that goes down to 31 Hz? Will everything sound messy and mushy?
Subs have a very limited response. There are some elements that happen to be big, but as said, very limited. If you start the cab design from an 18", you most likely need a ten, and a tweeter to the cab. Have you ever carried such a monster to a stage? TE 1818X was just terrible.
Is the answer to you an equalizer, or a better system, I don't know, but the size of an element will not answer to your need of "deeper".