I would avoid this topology completely. You are coupling two loads into your tank circuit, one being the load presented by the oscillator transistor and its follow-on load, the other being your feedback coil. In addition, you run some risk of the switching noise that may find its way out of the feedback input to the synthesizer getting directly into your tank circuit. Why suffer this complexity when it would be simpler to simply tap off the oscillator output with a capacitor to provide your feedback?