It sounds like an interesting problem but too poorly defined. I for one, need overall purpose and more accurate Specs of the design to assist further... input and output, specs, ... physical, environmental, electrical, mechanical..... each will disturb your results. Is it a variable f with a tolerance? Exactly how the Linear amp is designed affects the overall gain , (Q) and thus output amplitude and also to some extent the resonant frequency. The coils and the ESR and self resonant frequency (SRF) are critical. Do you have a part number, or is it custom ferrite with Litz wire . YES all the caps 27,15,82 are critical shift the two resonant frequencies together and slightly together or apart.
Is this a model , a prototype or a national security secret?
What is the desired result? To heat up a 50W carbon 1M5 resistor ( which is not common in any lab)