That more or less confirms what I suspected, a resonant application where the harmonics don't matter.
FYI, this would've been excellent information to include in the initial post, or a schematic suggestive of same.
That leaves the question of phase, as when an inductive phase (even slightly) is guaranteed, a switching circuit like half-bridge can operate very efficiently indeed; running silicon MOSFETs that fast may be a challenge (short of proper RF types $$$), but GaN are available these days which can do that no problem. Downside: GaN are faster and tinier than ever: the slightest misstep, poof, they're melted blobs of semiconductor on the board (so the board is probably toast, too).
If you're "experimenting" with a resonant circuit, then it's likely you'll be doing things that shift the resonant frequency, and therefore the phase seen by the inverter. A phase detector might be used to provide protection, or to adjust frequency to stay just above resonance.
It may simply be acceptable to run Si MOSFETs that fast, even fairly old ones (IRF540?), and accept the high switching losses (big heatsink) even when unloaded, off resonance, or below resonance (non-inductive phase).
Tim