It is equally wrong to view them as classical particles as it is to view them as classical waves. Classical particles with a probability wave is more accurate than both of those, but still not fully accurate. However I don't think there is any better likeness than that, to explain better you'd need to teach the math and equations behind quantum mechanics which usually takes years.
Can this probabilities field simply be the magnetic field? An electron has magnetic field that travels at the speed of light, while the electron is crawling behind, and by the time it enters one of the slits, its magnetic field has already formed the interference pattern that will guide the electron further.
