Have you experimented reversing sounds?
Find or record a few dozen sounds with strong decays (metal gate slams, reverbant door slams, distant gun shots, explosions, pressure releases etc) - reverse them and try those for the approach/attack of the doppler.... For the decay of the doppler try lower frequency sounds..
Experiment by recording backwards performances for both the attack & decay (ie have the shape of the sound you want in mind, but perform it knowing you will be reversing it) eg try dragging a wood saw across carpet in various shapes/performances, or scraping a machete across another metal object with the dynamic shape of the reverse of what you want....
Metal sounds may work well for the dagger, as the right sound will inferr sharpness
Obviously a woosh stops on impact, so a strong doppler up to the point of impact with an immediate/hard cut can accentuate the impact - but I think your question is for an object in flight? Try slowing the video to half speed, so you have more time to shape sounds to the actual movement, then pitch or timestretch it back to normal speed sync...
Experiment with recording first rather than plugins - while recording your first idea you will think of many other ideas that might offer a more interesting solution than processing...