Need Help Choosing A Subwoofer

I like your Infinity RABOS (EQ) 10 SW10(?) sub to fix your bass mode problems in that room! Otherwise, at the very least, you have to consider placing smaller fast subs at the half way room points (otherwise, a good "subwoofer table stack" in the very middle of the room to tame that serious room mode for 10' boundaries!!!
Otherwise, yes, the Paradigm PS1000 and Outlaws are good little subs for the money. Still, I like fast 8" subs for that small room, over size!
Basically, you other problem in small rooms is "bass absorbption" and too much bass energy/reverb!!!
Small rooms are compromises anyway, unless you know what you're doing, and can deal with the bass challenges, and balance the diffusion in the room (don't use too much absorbtion for mids/highs..hint.)
That all said, getting the right sub set up right (also phase/balance) is where it's at!!! Otherwise, you get what everyone else ends up with, boom and slop!
Good luck

Yeah...a 10x10' room? You definitely can forget the 4x15" subs with mono's! Call it a hunch(lol).
Yes, you need quality well integrated fast solid bass. I think it's reasonable to say you'll be staying with mass marketed, and forgoing the custom DIY, ya think? And, actually there's enough good subs out there that, set up well (the key), will do you proud really.
For that room, I like dual fast 8" subs (even push/pulls, like MX stuff from M&k, for instance MX70), or subs with a tight "Q", even more musical vs, monsterously sloppy and boomy. Read a reivew or two...then choose wisely