Sub recs for PSB system

Hi there,
i am setting a HT in my basement. the room is 15x15' but opes to 15x8 space in back and large entertainment area on left. i am getting a front projector with 110' screen. the speakers would be PSB w1 wall mounted LCR and in-ceiling PSB surrounds.
Need a sub: budget <1000, relatively compact, <18 in max dimension
Need an AVR: considering integar 50.4, marantz 6007 and onkyo NR 818
60% movies, 30% cable, 10% music use
Thanks in advance. Please feel free to comment on speaker choice as well.

Thanks
How would a ported svs pb12nsd compare to sealed f15 or uls-15?

@lewdogg
I went through 5hr of forum reading about subs and called Hsu, rhythmic and svs. Your recs amazingly match what all these manufacturers suggested. My take is svs seem to do better with ported subs for large room size, Hsu and rhythmic may be ok with sealed ones as well. The powerhouse would be fv15hp. I am trying to decide between fv15hp, e15 and uls15. They all are within $150 of each other. Uls has the wireless which is attractive. Can I use third party wireless for rhythmic? Which one will the pro's choose and why?
Gary