If you like your speakers, what you should be considering is some sort of highpass filter, or electronics with tone controls, to reduce the really low bass output.
As far as speaker choices, you should not necessarily be looking for speakers with restricted bass, but rather, you should be focussing on finding a speaker that sounds good to you at low volume. Some candidates include: The smallest Spendor monitor (preferably an older model), Proac tablette and the small Totem speakers. If you have room to place them correctly, the Magneplanar MMGs would be great for your purposes (dipole speakers, such as the Maggies and electrostatics do a better job of concentrating the sound in the listening area and reducing the amount of sound that bleeds into other rooms and are great for apartments, provided you have enough room).
I tend to like a number of high efficiency speaker systems (horn drivers and single drivers) for this purpose too, because these types of systems deliver a very lively midrange that is great for low volume listening. However, most decent systems of these types are WAY beyond your specified price range. If you or a friend have any DIY skills, a full range system built around the full range Tang Band driver would be pretty nice.