Best subwoofer (DIY Build) for this amp?

I'm really really out of touch with the audio world, I used to have a lot of amazing equipment but as I started listening to less music I traded it all in and got a pair of KRK RP5s powered studio monitors for the computer and a pair of the KRK RP8s for movies and home theater. I would like to add a subwoofer to the RP8s and for ease of use I purchased this amp due to the XLR in/out/.

https://www.parts-express.com/Dayto...W-Subwoofer-Plate-Amplifier-with-DSP-300-8010

I'm going to make a sealed enclosure, I would like the speaker to be physically protected but I don't think a 4th order box makes sense. Outside of that I think a down firing sealed enclosure would work best if I'm not going to have the woofer physically protected inside of the box. This way I can make it an end table or something as well. Any thoughts on a woofer that would be a good compliment for the KRKs?

I was initially thinking a 10" but I want more base so then I thought 12" would work. Then I figured I would just go for it with a 15" until seeing this:

https://www.amazon.com/Rockville-RVP18W4-Replacement-Subwoofer-Woofer/dp/B00MP5J7PM/

And this

https://www.amazon.com/Skar-Audio-SDR-18-D4-Subwoofer/dp/B07J4WCL3W/

Which both seem like my kind of absurd. I would be open to some isobaric designs as well as I've found some pretty good deals on 2x8ohm 12" so I can run them at 4ohms for that amp.

Anyway, please just help, I'm not set on anything other than that amp and down firing and keeping the budget around $125 for the woofer.

Thanks in advance for any input, I just don't have the brain power to spare to research this enough to make an informed decision. I think those KRK Rokit 8s have a frequancy response of 45hz to 20khz.
 
I'm going to be putting 2 SDR18's in a BP4 in my son's 2010 Mercury Grand Marquis.
How big can the enclosure be and how low do you want it to go?

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I'm going to be putting 2 SDR18's in a BP4 in my son's 2010 Mercury Grand Marquis.
How big can the enclosure be and how low do you want it to go?

View attachment 1397790View attachment 1397791
I would like low, very very low if possible although I need it sealed so as low as I can in a sealed box. Is BP4 a 4th order band pass enclosure? Honestly, I would happily just repeat what you're doing if it's working well.
 
Yes, a BP4 is a 4th order.

I haven't built the enclosure yet. I haven't started installing the system yet. I'm still gathering parts.

A sealed enclosure is not hard to do. Just build the recommended enclosure from the manufacturer.

Actually, you do not want a car audio enclosure for home theater. Vehicles benefit from cabin gain or transfer function. An enclosure with a F3 of 50hz at ground plane (2pi) could have a F3 of 20hz in a car (0.5pi). The same enclosure in a room might get you a F3 of 30-40hz.