Yeah, silicon is plenty fine here. I've been playing with a 10W 2MHz design that uses a 3 x 3mm dual MOSFET in Si, no problem.
Note that the lead inductance on that IPAK will be more like 5nH; this should be in the model already? So, adding pH's here and there externally shouldn't be a big concern.
Did you check the gate voltages to verify they aren't interfering? Timing looks about right but I never can remember the exact timing of a PULSE offhand...
MagicSmoker is quite right, you're below resonance, so you have a leading phase and high switching losses.
Your output network is in series, so you're not going to get any gain, so the output is under 150V, correct? LLC network is most commonly used as it gives some voltage gain and a good source and load range.
What the heck is a FFSM1265? Is that the SiC model linked in the text above? Oh I need to search -'A', real helpful Google. Ooh, SMT diode, haven't noticed those before. Very handy, and a good complement for HV GaN.
SiC would be kind of overkill, but if you're expecting over 200V it's probably best. Si schottky up to 200-300V are available so if you're less than that, they would be cheaper.
Tim