Just to put another option out there;
Since you're giving a little wiggle room above 1k:
Wavecrest Audio HVL-1 x5: $550 I think it's still on sale for $500
Hsu Research STF-2 Sub: $360, on sale for $320
With shipping maybe around $950 total.
This sub on another level compared to the PSW10, and personally I'd take the Wavecrests over the Polks also.
If that's going to be too much over $1000 with an AVR, you could substitute the Hsu for a Dayton Sub-1500 at $200. With that you'd be looking at most $800 (highly doubt the HVL-1's would cost $100 to ship).