I'm in Mt Pleasant. I know of this challenge. What I ended up doing was seperating the ISS and the anemometer. The ISS is on a 6ft 4X4 pole out of the rain shadow of any trees. The pole is in the ground with a 30" 4X4 stake. Very secure and makes it easy to move or remove if the big hurricane comes, because weather station would be useless with a power failure and only able to be damaged.
The anemometer is actually mounted on a conduit I inserted into an old satelitte TV J mount on the roof. I buried the cable back to the ISS. Extension cable is available or you can get another transmitter. I have this all grounded and it's on the back of my house sticking up just enough to get above the roofline but not the attention of the HOA. You may also try a chimney mount that would be used for a TV antenna and put a conduit there and mount the anemometer to it.
Short of that, I see no issue with a taller 4x4 as long as you keep the rain guage above the post or you will create a rain shadow. You may also do two 4x4s, one with the ISS and the other with the anemometer higher. If you have a privacy fence perhaps you can mount a conduit to the fence for the anemometer and get it higher and have the ISS nearby.
Lots of options.