Re: As I understand things
Doesn't work like that I'm afraid.
Fields are areas of space where there is a potential difference of some sort, you gain or lose energy when moving a particle through the field that interacts with it. For example with two parallel plates with extra electrons on one of them there will be an electrostatic field between the plates the electrons will 'want' to move to the other plate to balance things out, you can extract the energy by moving half the electrons to the other plate. There isn't anything in the gap as such, the electrons are stuck on the plate.
Secondly, I think that Higgs bosons are pretty rare in the universe these days, it took the LHC a lot of effort to create even the few it needed to detect them and they decayed pretty quickly. Also the Higgs is very heavy at 126GeV, electrons have a rest mass of about 0.5MeV and hadron type particles like protons are about 1Gev, even if you only stuck Higgs to just these you'd end up with way too much mass.
Like yourself I'm only an amateur in this area and I may be a bit off base w.r.t the field side of things.
Edit: @Ashton Black - Yes, like you said.