What you're proposing is the analogue of a windmill or waterwheel. Using a propeller-like configuration would make the whole assembly spin at the expense of forward propulsion. This would be the case whether solar photons or the solar wind are being reflected. Propellers in air or water work by being actively rotated by a motor so the medium - air or water - is driven backwards and the craft is thrust forward.
The solar wind speed and density (at 1 AU assuming one is outside the beyond the Earth's magnetosphere) are about 440 km/s and 5x10^6 protons/m^3. The ram pressure due to the solar wind is about 3 nPa (nN/m^2). The pressure due to photons at 1 AU is a maximum of 9 μPa (assuming perfect reflectivity), three thousand times as much.
The solar wind speed stays roughly constant up to the termination shock while the density falls off as approximately distance from the Sun squared. Beyond the termination shock up to the heliopause, the wind speed effectively drops to near zero. Solar photon flux also falls with distance squared so the available thrust for both also falls with distance squared and they remain in the same ratio up to the termination shock. Once you are beyond the termination shock at about 100 AU and the heliopause at just over 120 AU in the bow region, there'd be pressure from the interstellar medium wind with a pressure roughly the same as that of the solar wind just before the termination shock but whose direction is uncertain. Photon pressure still trumps though even if it has dropped to less than 1/14,400th the value at 1 AU.
Ram pressure due to the solar wind is m.n.v^2 where m is the mass of a proton, n is the number density, and v is the solar wind speed. Most of the momentum in the solar wind is carried by protons.
Light pressure, assuming perfect reflection, is 2.I/c, where I is the irradiance (in W/m^2, typically 1.361 kW/m^2 at 1 AU) and c is the speed of light (3x10^8 m/s). In practice, the reflecting surface will absorb some photons so the actual pressure is effectively lower.
You might as well go with the flow rather than thrash about ineffectually wasting energy trying to boost a minor component of the available thrust. It's ridiculous to attempt to drive photons backward with a propeller. The increase in frequency due to blue shift is negligible given that the velocity of the propeller will be a minute fraction of light speed. The best you can do is to make sure you reflect the photons as efficiently as possible. The available thrust increases with the area of the sail but then so does its mass as well. The acceleration scales as roughly 1/(1+r), where r is the ratio of the payload mass to the sail mass. If r is 0.01 and you double the sail area so r is 0.005, the acceleration increases by 0.5% not 100%.
