Whenever I mention "trimpot" the kids here start calling assisted-care retirement facilities to ship me off to.
My only objection to a trimpot here is, how would you set it? You can hardly probe the tank without upsetting it.
With 2% Ls and Cs and reasonable care as regards idle current, the startup amplitude should be pretty close. We already expect the first cycle or to to be some picoseconds off schedule, and we calibrate for that.
Here's an older design, one I hope to both simplify and improve.
It's untweaked, a production unit.