Also - yikes:
https://acd18d33-4461-49d0-9804-8fc4...358b0adcfe.pdf
That IDQS-10 has a Qts damn near 1!
And the Fs is way up at 50hz! That wouldn't be a good option for my suggestion. And I'm thinking even if sealed, that's not going to even play the bottom 20-40hz octave.
EDIT: I used to be a Kicker dealer, and was pretty impressed with their stuff. That was before these shallow subs, but I'd be checking these out:
https://www.sonicelectronix.com/item...0aAtP4EALw_wcB (I'm not advocating buying from these guys - just that you can see the specs there)
I say that because they are rated at 400w RMS - not a bad match for your amp if you aren't clipping it. They also have a 0.45 Qts which would be great for this, and Xmax is still decent on those.
To go through the rest of what's been mentioned here-
This JL seems actually has that 'weak motor' (bear in mind that's not bad for sealed) and just costs more money:
https://www.crutchfield.com/p_13610T...-10TW3-D4.html
Rockford shallow - only rated at 250w and you'd be giving it 500 (or 380 at 4 ohms).
Pioneer shallow - also only rated 250w.
Dayton shallow - also only rated 250w. Of the three, I'd go with that if you are OK with holding your amp back.
Illusion audio - seems discontinued everywhere, with that Neo motor I'd bet that would be a good fit, if a single one fit your budget. Check that spec sheet.
That SB Acoustics 10 shallow sub would be great for PR if it weren't 8 ohms, but in fact it's Qts is so low, I wouldn't do it sealed.
The Sundown might be OK in a sealed application (I didn't model it up), it has a .55 Qts which would put it just outside of ideal for a PR if that idea intrigues you, but should still work fine in it.
Hope the run-through helps.