Everything is a model. If you walk outside and feel the sun on your face, you can either say that your skin is absorbing electromagnetic radiation or that it is experiencing a non-local interaction with charged particles 100 million miles away and about eight minutes in the past.
Is this just a model and there aren't actual 'waves' traversing around us, but rather mere forces caused by a movement of an electron?
I don't know what you mean by this. If you predict the result of some experiment by modeling electromagnetism using fields and waves, then your predictions will come true. That doesn't mean that you can't bend over backwards (philosophically and mathematically) to come up with an alternative picture that doesn't involve waves, but there is exactly zero reason to do so unless we discovered that the Maxwell equations did not match with experiments (they do).
If so, is it fine to propose that visible light is simply our brain's reaction to certain forces caused by moving electrons in a certain frequency?
You can propose whatever you want, but in order for that to be true those forces would have to be nonlocal in both space and time - i.e. the force you experience now depends on where other particles were and what they were doing last Tuesday. If that's unappealing to you, as it is to most people, then you're stuck with fields.
