That is a very interesting point you made there about the electrical field effecting other region. Well that might, but only at areas adjacent to where it is being produced because the electric fields being produced in our body are probably not strong enough to influence distant areas. But this requires a lot more research.

About your point on synapses, yes, definitely.Not every neuron is stimulated by synaptic connections in our body. There are certain receptor neurons that response to stimuli like pressure, vibration and even light (neurons in the retina). For these neurons, the stimulus are these sensation and no synapses are involved to generate the action potential.

About action potentials, I don't see any other way!! I mean however you stimulate a neuron, for the information to be generated and transmitted, an action potential has to be generated.

Thanks for this great comment!!