Your reduced coil experiment lowered the load impedance , when you should be raising it.
I estimate your half bridge impedance based on 640 mm coil to centre from your photo the 10AWG wire length appears to be 15" feeder & 25" coil = 40" ( ~1 m @ 0.00328 Ω/m)
= 32.8 mΩ or 17 mΩ per half bridge.
How much power is lost in the + 8uH supply shunt ? This gives a high common mode impedance which limits power.
Something is wrong with your schematic resonant frequency for 40,000 uF 1 uH is ~1 kHz ?? Far too high uF for inductive resonance. and too high CM choke impedance after tthat is fixed. This is wht MOSFETs smoke with only a couple turns less. THere must be some parasitic resonance not characterized in the layout and components.
So what impedances do you get?
I get per half bridge.;
R copper = 17 mΩ
L coil = 0.75uH total or 0.375uH per leg
Zcoil = 0.375uH *2πf @ 64 kHz
Zcoil= 17mΩ +j 151 mΩ
Xc = 1/(2πfC)
thus @64kHz C=0.04F
Xc = 62 uΩ
SRF= 1/(2π√LC)
64 kHz Zload= 17mΩ +j 151 mΩ
Q = L/R
You ought to be driving the MOSTFET gates with rectangular pulses of width is << 1/2 of the Self Resonant frequency and resonating the coil, but non-linear R//Diode cross coupling drives the gates with quasi sine peak pulses and leads to poor efficiency, it also leaves the MOSFETS open to parasitic oscillation. According to my calculations 0.375uH + 0.04mF resonates at 1300 Hz not 64kHZ
Another clue to parasitic resonance is that the resonant frequency should drop significantly when Iron core is inserted as the coil inductance should increase SIGNIFICANTLY compared to an air core and not simply ~ 20% lower