Well I modified my Stevenson screen for my WH3081 and 1081 stations and it has met with success with measurements taken off 2 x manual mercury thermometers that I own.
Its really simple to modify these screens into deliver fairly accurate temps in full sun so I thought I would share what I have done so I can share my success with other fine offset users.
First I painted the Stevenson screen in vivid white gloss (6 coats worth), I replaced the screen over my sensor with the 1081 screen whilst doing this which has had the same treatment, it requires you wrap the solar sensor and plug in newspaper or another covering to prevent it from being ruined by paint on the surface. Use a bit of coathanger wire put through the solar sensor hole which you need to unbolt and hang the screen or simply hold it up and apply several mist coats. The light reduction and radiation reduction is phenomenal.
I also took the opportunity to install a heat exhaust flue to augment the airflow upwards out of the station as I've always been quite worried that it can't dump heat directly upwards utilising effective convection unlike a double louvred double roof proper Stevenson screen. The tubing used was just white about 7.5mm across with a hole drilled into the side that sits away from the sun, the tube fits snugly in and is about 5mm into the screen itself, it terminates just under the flange for the solar sensor.
I also have a base that I trialled with the 1081 and carried over to stop radiation from getting in underneath its just a white lid with the hole cut to accomodate the square fitting underneath the temp/humidity sensor, really easy to do and another great way to keep that radiation out!
Anyways here are a couple of pics to give you an idea of what I have done:

and

Stephen