Low Phase Noise Amplifier
You confuse two separate features. Thermal noise is the base for defining amplifier noise in low-noise amplifiers. Low phase noise means that a device affects signal phase variations. Amplifiers generally have barely detectable phase noise, much lower (30-60 dB) than oscillators. Only special amplifier makers can measure their phase noise. LNA makers do not specify their phase noise as it requires a special test equipment.
You would have to buy some LNAs and test their PN if you are interested.
Why do you need a low phase noise amplifier? What is your target phase noise spec? Hittite has a broadband low phase noise amplifier: http://www.hittite.com/content/docum.../hmc606lc5.pdf
Noise figure is such an innacurate term. It is if someone asked what your girlfriend looked like, and you said "she is generally nice". The asker would still be wondering.
Figure out the residual AM and PM that is needed in the amplifier, and go try to find that. Maybe you can tolerate close-in or far-out noise, for instance