I am thinking that the clipper diodes limit the drive to the crystal to deliberately ensure the gain runs out while the crystal is gently but reliably vibrating without excessive phase jitter.
If you need more signal, you have to consider the noise contribution of the buffer amplifier. Stay linear. Trying for bigger signals by switching logic outputs brings about more uncertainties over the variable switching threshold.
Low noise oscillator design is hard stuff. I have a (4.4MB) pdf book on it that is relatively tough going, but there is lots of good stuff online. Now, with the new Direct Digital Synthesis chips, Software Defined Radio, etc, there are ICs which use very clever techniques to get impressively low phase noise, only needing the crystal added. My favourite is Analog Devices, but there are others (Linear Technology, Avago).