At your budget, the PSB Image series would work well. I own a number of PSBs, from Image 4t through Synchrony One. My Image t65 uses 3-6.5" woofers, so it can move some air without strain. That is the biggest problem with large rooms and smaller speakers, you just cant load the room.
So look for something with a least a single 10" woofer or multiple 6 to 8".
So look for something with a least a single 10" woofer or multiple 6 to 8".