Sorry forgot to include video:
Go to 7:20 about bass management
It really helps to have the proper information.
I have worked on this all morning.
You are right about Australian prices, and I have worked hard to get costs down, but prices are more then double USA.
First of all it was a real challenge to get the spec. of your sub out on the Bluesound unit. It turns out the unit does have fixed bass management. When you activate your have a sub, and connect to the sound out, the main speakers are limited to 80 Hz at the low end, and the sub carries over below 80 Hz. I assume this is 12 db. high pass and 24 db. low pass, but I can't find a spec on that.
The driver is this 10" Dayton sub driver. I use this driver in my in wall system and it is an excellent driver.
I did model the cheaper Dayton 10" driver, but the box volume came out to almost 4 cu.ft. If you go on the sites it says you can use a vented volume of 1.75 cu.ft. That is pure fiction. F3 is much higher then quoted and the response curve is awful.
I have specked two choice of plate amps.
This 100 watt amp.
I have also specked this 250 watt amp.
If you have the funds I would go for the more powerful amp, as your circumstances may change. The 100 watt amp would probably meet current requirements, but the larger one will power the driver almost to the limit of its capabilities. I am powering my driver with 250 watts.
Now you need to add the volume of the driver, port volume and bracing volume to the final volume. This pretty much turns out to be in the 15 to 20 percent range.
This will make an ideal sub for your system. I'm sorry about the sticker shock, but I can't control Australian prices without designing junk, which I won't do. Junk purchases are the most expensive you ever make.
I feel 100% confident in this design and would expect you to be very happy with it. It should match your system perfectly.
As an aside I think we need an addendum to this site, to state people's country of residence. In addition we need guidelines as to what information to provide when requesting help.
You are far from the first to post with totally inadequate details. This wastes a lot of time.