Even though "particle photon" and "wave photon" are used alternatively, they are just convenient ways of talking about the behavior of the same "photon field". The same way when we say "it is raining" we don't mean that there is a "it" that "rains", we should try avoid taking these descriptions too literally.

That being said, is difficult because we are using language to describe very-much-not-everyday stuff. We all need mental hooks to anchor new knowledge and most of our intuition is based on the classical (not-quantum) world aroud us.