First look how sensitive your system to the oscillator noise. For example, your PLL loop might take care about phase noise below 10MHz. Then you can use a simple BG bias like above as its noise is usually a LF one.
Second, does your spec really requires a cutting edge performance?
Third, how sensitive your LC oscillator to the bias noise?
Answering on these three questions help you to deside.
In my experience for many LC-based applications a simple resistor to VDD often does an excellent job.
If not, Vth over R bias is simple and easy to make low-noise.
Bandgap requires some experience and complications to get its noise low, but is it really necessary in your case?