By "every particle" do you mean like, every type of particle?

If you mean individual particles, fundamental particles don't really have distinct individual identities (as shown by fermi and bose statistics).

As for types of particles: Well, photons surely move at the speed photons move at.

Special relativity is derived from the assumption/observation that light travels at the same speed in all inertial reference frames, and generally that the laws of physics work the same in any inertial reference frame.

What you are proposing sounds pretty vague and unclear to me, but, is what you are trying to say compatible with this?