There is no single point like that. Forces created by gravity and rotation are independent* from actual mass or shape of the satellite. That's why we can talk about such points, universally.
Force created by solar wind, light pressure and so on depends on the shape of your satellite, surface, how reflective surface is, and so on. Thus, at the same point it can be quite large for one satellite** and rather minuscule for another.
That said, you can replace some of centrifugal force with solar sail power, and do some maneuvering by changing sail's orientation. How far from Lagrangian points your point of balance would be depends solely on the design of your craft, and thus, indirectly, tech level available in your world. In theory, if material wouldn't be a problem, you could even have a stationary platform that does not circle around your star at all. Or even propel entire star system with Shkadov Thruster.
* With assumption that mass of the object in L point is irrelevant in comparison with Sun and Earth.
** We don't have a word for pseudo-satellites on forced orbits, so I'll just use closest word we have.