Ok that's all interesting, thank you! - I had not considered the possibility of microphones picking up low frequencies and adding mud to the signal. Especially the vocal mic on the bodrhan player I can see needing a high-pass - !
To explain a bit more, I am using two mid-90's Peavey main cabs. These cabs were never given a wattage rating, but they came with Scorpion 15's + horn. I'm fairly sure they are in the 200-watt range of power handling. I drive them with a 500-watt stereo PA amp, usually in mono. (In stereo the power is 180x180watts)
These speakers have served well, even in outdoor venues they have been great at reasonable volume levels.
But, in the last 5 or 6 seasons, I've been getting performers on my stage with kick drum pedals/loopers that throw off a real low thud. Also in my band, we have a wide range of natural skin drums, as well as bass guitar including a low B-string. But it was trying to get the kick drum sound to push a little more air that I weakened the Scorpion speakers, and they eventually broke down. (replaced with Sheffields , which I find do sound warmer than the Scorps)
The subwoofer being considered is a Behringer that claims a 1400-watt power rating. I assume there is some marketing involved in that figure. It is a single 15", with stereo i/o and a crossover that goes up to 150hz at highest.
I will definitely be using an AUX send, for the channels in question then.
The goal is to just get some natural thump (we are a folk-jazz-rock dance band), in frequencies the PA cabs cannot produce at higher levels.
Given the type of music and relatively low power of your mains I believe a single sub should easily do the job. Does your board have an HPF on the channel strips? If yes, I would engage the HPF for all channels that are not sent to the sub.
You can run you mains full range and simply add the sub. This is not ideal as destructive interference can occur because of different phase and group delay errors cause by variation in drivers, box tuning, and the the subs crossover.
Regarding the HPF for your mains, ideally it should be set to interact with the LPF of the subwoofer so that a crossover is formed. Best peformance will be achieved if the HPF is injected before you power amp (active) rather than between the power amp and speakers (passive). A passive HPF will dissipate some of the amp's power so it is not available for your speakers to make sound.
Usually crossovers use the same slope for both LPF and HPF....the slope is pretty important given the nature of your proposed setup. If the LPF and HPF have different slopes and are set to the same frequency, either you will have overlap or a hole in the response. Different slopes can be configured to work with each other, but test equipment and time delay is required for seamless integration. Unfortunately the Behringner documentation doesn't seem to show what crossover slope is used with their subs...their support services are very good, so send them a questions if you are curious.
Options in order of performance (worse to better): 1. Run mains full range, 2. if your PA has EQ between the mixer and mains, engage available HPF on EQ and dial out lows below sub crossover frequency, 3. use a variable HPF filter with same slope as subwoofer crossover, 4. use the HPF section of regular two way crossover with the same slope as the subs built in crossover, 5. use a digital processor with variable filters and time delay.
If you are running a digital board, try to use the functionality of the board instead of buying more gear. I used to mix on several low end Yamaha digital mixers and I configured the output section of each mix rather than using outboard gear.
Luckily the ear is not super sensitive/critical to low frequency phase and frequency response issues. Just do the best you can with the equipment you can afford by tuning the system with your ears. I use downloadable tone generator myself as I can't justify spending the cash on SMAART and the necessary hardware to run it.
A rabbit hole to go down if you are interested. (I am totally lost down here myself). Pro level equipment often uses 24db crossover slopes. One reason is because this slope is "phase coherent." There is a total phase error of ~360 degree across the crossover region; so signal phase error pretty much works out. With 12db crossovers the phase error is 180 degrees so the common fix is to flip the polarity of one of the drivers.