"Small" lends to higher kV. It's just the physics of the thing. It's not really as much an effect of "quality" as much as size and how it's wound.
The same motor can be rewound in a few different ways (more/less turns, Y vs Delta) to impact the kV, but the smaller the motor, the higher the middle kV will be. 22xx motors are going to be very high 1000's with hot windings typically in the low-mid 2000's. 18xx motors are going to be low-mid 2000's with hot windings in the high 2000's. 13xx/14xx's are going to be low-mid 3000's, with hot windings in the high 3000's (4000 is just about as hot as it will get). Hotter windings are a bit less efficient but allow you to dump tremendous power for the size . . . not quite what you're looking for. DYS's 1306 wound to 2300kv is actually a fairly cold winding -- you won't get much power through it, but it'll have a much wider efficient range. For 3S it looks fine . . . but 2s? probably not so much.
Keep in mind, the kV specs I've made are not for "getting the most", but "getting just enough" out of a 4" prop on 3S. You can bump up closer to "getting the most" out of this size motor and reduce your throttle, voltage, or prop to calm her back down. In the latter case, picking up the 3000-ish kv motors will give you more headroom.