Looking a little on the He-162, it is stunning how small the wing was - half the area of the Spitfire's wing, for example. So - proceed with a single engine jet fighter, but give it a decent wing (say 15-17 sq m), even if it has a bit of sweep. The resulting aircraft should still be capable for 800 km/h, while lower wing-loading will mean it is a less of a problem for low-time pilots.