The gain of your circuit is R3/R4, it is better to split R4 into two parts, one part to determine the collector current and decoupled with a capacitor which has a low impedance at the working frequency, say .1 MF and leave a low value - 22 ohms? undecoupled, this will reduce the gain slightly but will make the stage a lot more linear. As said its best to follow this amplifier with a emitter follower, which will have a gain of .95 or more (slight loss) but will be able to feed a low input impedance aerial input of a receiver. Do not worry about the noise factor of the input transistor on AM as the noise picked up by the aerial will exceed this figure. Just run the transistor at about 1mA current. Just thought, the decoupling capacitor that I mentioned, could have a 5K pot wired in series with it and earth, so if you have a strong signal you can reduce the gain of the pre-amp by putting more resistance in series with the cap.
Frank